Alexander Stolin

Full Professor at Chalmers, Mathematical Sciences, Algebra and geometry

Areas of research:Yang-Baxter equation, quantum groups,algebraic aspects of integrable models,Hopf, Frobenius algebras, Picard and class groups

Source: chalmers.se

Showing 75 publications

2017

Lie bialgebras, fields of cohomological dimension at most 2 and Hilbert's Seventeenth Problem

Seidon Alsaody, Alexander Stolin
Journal of Algebra. Vol. 478, p. 368-394
Journal article
2017

Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang-Baxter equation

I. Burban, L. Galinat, Alexander Stolin
Journal of Physics A: Mathematical and Theoretical. Vol. 50 (45)
Journal article
2016

Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie algebras

B. Kadets, Eugene Karolinsky, Iulia Pop et al
Journal of Mathematical Physics. Vol. 57 (5), p. Art. no. 051707-
Journal article
2016

Belavin–Drinfeld solutions of the Yang–Baxter equation: Galois cohomology considerations

Arturo Pianzola, Alexander Stolin
Bulletin of Mathematical Sciences. Vol. 6 (16), p. 1-14
Journal article
2016

Classification of quantum groups and Lie bialgebra structures on sl(n, F). Relations with Brauer group

Alexander Stolin, Iulia Pop
Advances in Mathematics. Vol. 293, p. 324-342
Journal article
2016

Quantum Groups: From the Kulish–Reshetikhin Discovery to Classification

B. Kadets, E. Karolinsky, Iulia Pop et al
Journal of Mathematical Sciences. Vol. 213 (5), p. 743-749
Journal article
2016

Classification of Quantum Groups and Belavin-Drinfeld Cohomologies

B. Kadets, E. Karolinsky, Iulia Pop et al
Communications in Mathematical Physics. Vol. 344 (1), p. 1-24
Journal article
2015

Quantum groups: from Kulish-Reshetikhin discovery to classification

Boris Kadets, Eugene Karolinsky, Iulia Pop et al
Zapiski Nauchnyh Seminarov POMI. Vol. 433 (23), p. 186-195
Journal article
2014

Preface: Proceedings Algebra, Geometry and Mathematical Physics Conference, AGMP 2011

A Makhlouf, E Paal, S Silvestrov et al
Algebra, Geometry and Mathematical Physics AGMP, Mulhouse, France, October 2011 123. (Springer Proceedings in Mathematics and Statistics), p. VII-IX
Paper in proceedings
2014

On quantum groups and Lie bialgebras related to sl(n)

Alexander Stolin, Iulia Pop
Journal of Physics Conference Series. Vol. 532, p. artikel nr 012026-
Paper in proceedings
2014

Belavin-Drinfeld cohomologies and introduction to classification of quantum groups

Alexander Stolin, Iulia Pop
Journal of Physics: Conference Series. Vol. 563 (1)
Journal article
2014

Deformed Richardson-Gaudin model

Petr Kulish, Alexander Stolin, Henrik Johannesson
Journal of Physics: Conference Series. Vol. 532, p. 012012-
Journal article
2014

Quantized Reduced Fusion Elements and Kostant’s Problem

Alexander Stolin, Eugene Karolinsky, Vitaly Tarasov
Springer Proceedings in Mathematics and Statistics. Vol. 85, p. 27-36
Paper in proceedings
2014

Equivariant quantization of Poisson homogeneous spaces and Kostant's problem

E. Karolinsky, Alexander Stolin, V. Tarasov
Journal of Algebra. Vol. 409, p. 362-381
Journal article
2014

3Quantum: Algebra, Geometry, Information

Eugen Paal, P Kuusk, Alexander Stolin
Journal of Physics Conference Series. Vol. 532, p. artikel nr 011001-
Paper in proceedings
2013

Quantum deformed Richardson-Gaudin model

Henrik Johannesson, Alexander Stolin, Petr Kulish
Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm, p. 789-793
Paper in proceedings
2012

Algebra, Geometry, and Mathematical Physics 2010

Alexander Stolin, Viktor Abramov, Juergen Fuchs et al
Edited book
2012

Poisson Structures Compatible with the Cluster Algebra Structure in Grassmannians

M. Gekhtman, M. Shapiro, Alexander Stolin et al
Letters in Mathematical Physics. Vol. 100 (2), p. 139-150
Journal article
2011

Algebraic Bethe ansatz for deformed Gaudin model

NC Antonio, N Manojlovic, Alexander Stolin
Journal of Mathematical Physics. Vol. 52 (10)
Journal article
2010

Classification of Lie bialgebras over current algebras

F Montaner, Alexander Stolin, Efim Zelmanov
Selecta Mathematica, New Series. Vol. 16 (4), p. 935-962
Journal article
2010

Bethe ansatz for the deformed Gaudin model

Petr Kulish, Nenad Manojlovic, Maxim Samsonov et al
Proceedings of the Estonian Academy of Sciences. Vol. 59 (4), p. 326-331
Journal article
2009

Classification of quasi-trigonometric solutions of the Yang-Baxter equation

Iulia Pop, Alexander Stolin
Contemporary Mathematics. Vol. 478, p. 155-162
Journal article
2009

Generalized Lie Theory in Mathematics, Physics and Beyond, Preface

V Abramov, E Paal, S Silvestrov et al
Generalized Lie Theory in Mathematics, Physics and Beyond
Paper in proceedings
2008

On Some Lie Bialgebra Structures on Polynomial Lie algebras and their Quantization

Sergey Khoroshkin, Iulia Pop, Maxim Samsonov et al
Communications in Mathematical Physics. Vol. 282 (3), p. 625-662
Journal article
2008

Proceedings of the 3rd Baltic-Nordic Workshop AGMF

Alexander Stolin, Viktor Abramov, Eugen Paal et al
Journal of Generalized Lie Theory and Applications. Vol. 2(2008) (3)
Paper in proceedings
2008

Generalized Lie Theory in Mathematics, Physics, and Beyond

Viktor Abramov, Eugen Paal, Sergei Silvestrov et al
Edited book
2008

25 Years of Quantum Groups: from Definition to Classification

Alexander Stolin
Acta Polytechnica. Vol. 48 (2), p. 25-28
Magazine article
2008

Lagrangian Subalgebras and Quasi-trigonometric r-matrices

Iulia Pop, Alexander Stolin
Letters in Mathematical Physics. Vol. 85 (2-3), p. 249-262
Journal article
2007

Irreducible highest weight modules and equivariant quantization.

Alexander Stolin
Advances in Mathematics. Vol. 211(2007) (1), p. 266-283
Journal article
2007

Irreducible highest weight modules and equivariant quantization

E. Karolinsky, Alexander Stolin, V. Tarasov
Advances in Mathematics. Vol. 211 (1), p. 266-283
Journal article
2007

Differential calculi on some quantum prehomogeneous vector spaces

Alexander Stolin, Sergey Sinel'shchikov, Leonid Vaksman
Journal of Mathematical Physics. Vol. 48 (7), p. 073514-1--073514-27-
Journal article
2007

A quantum analogue of the Bernstein functor.

Alexander Stolin
Journal of Lie Theory. Vol. 17(2007) (1), p. 73-89
Journal article
2007

Rational solutions of CYBE for simple compact real Lie algebras

Iulia Pop, Alexander Stolin
Journal of Geometry and Physics. Vol. 57 (5), p. 1379-1390
Journal article
2007

Spherical principal series of quantum Harish-Chandra modules

Olga Bershtein, Leonid Vaksman, Alexander Stolin
Zh. Mat. Fiz. Anal. Geom.. Vol. 48 (2007) (7)
Journal article
2006

The 4th structure

Alexander Stolin, Julia Christopher
Czechoslovak Journal of Physics. Vol. 56 (10-11), p. 1293-1297
Journal article
2006

Classical quasi-trigonometric r-matrices of Cremmer-Gervais type and their quantization

Julia Christopher, Maxim Samsonov, Alexander Stolin
Journal of Nonlinear Mathematical Physics. Vol. 13, p. 129-136
Journal article
2006

Classical quasi-trigonometric $r$-matrices of Cremmer-Gervais type and their quantization

Alexander Stolin, Julia Christopher
Journal of Nonlinear Mathematical Physics. Vol. 13(2006) (suppl. 1), p. 129-136
Journal article
2005

Rational solutions of CYBE for simple compact real Lie algebras

Iulia Pop, Alexander Stolin
Preprint
2005

From dynamical to non-dynamical twists

E. Karolinsky, Alexander Stolin, V. Tarasov
Letters in Mathematical Physics. Vol. 71 (3), p. 173-178
Journal article
2005

Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization

E. Karolinsky, K. Muzykin, Alexander Stolin et al
Letters in Mathematical Physics. Vol. 71 (3), p. 179-197
Journal article
2005

Dynamical Yang-Baxter equation and quantization of certain Poisson brackets.

Alexander Stolin
Contemporary Mathematics. Vol. 391, p. 175-182
Paper in proceedings
2005

Dynamical twists and quantization

Alexander Stolin
Contemporary Mathematics. Vol. 376, p. 289-297
Paper in proceedings
2004

Classical dynamical Yang-Baxter equations and quasi-Poisson homogeneous spaces

Alexander Stolin
Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos.. Vol. 50, p. 1101-1107
Paper in proceedings
2001

Picard groups of integer group rings and units in cyclotomic fields

Ola Helenius, Alexander Stolin
Preprint
2001

An approach to Hopf algebras via Frobenius coordinates II

Lars Kadison, Alexander Stolin
Preprint
2001

Unit bases in integer group rings and the Kervaire-Murthy conjectures

Ola Helenius, Alexander Stolin
Preprint
2000

Chains of Frobenius subalgebras of $so(M)$ and the corresponding twists

Vladimir D. Lyakhovsky, Alexander Stolin, Petr P. Kulish
Preprint
2000

Q-power function over Q-commuting variables and deformed XXX, XXZ chains

Sergey Khoroshkin, Alexander Stolin, Valery Tolstoy
Preprint
2000

On the Kervaire-Murthy conjectures

Ola Helenius, Alexander Stolin
Preprint
1999

Nakayama automorphisms of finite projective Hopf Algebras

Lars Kadison, Alexander Stolin
Preprint
1999

Classical limit of the scaled elliptic algebra A(h,eta)((sl)over-cap(2))

S. Khoroshkin, D. Lebedev, S. Pakuliak et al
Compositio Mathematica. Vol. 115 (2), p. 205-230
Journal article
1999

Frobenius systems and Hopf Algebras over rings

Lars Kadison, Alexander Stolin
Preprint
1999

Separability and Hopf algebras

Lars Kadison, Alexander Stolin
Preprint
1998

Generalized trigonometric solutions of the classical Yang-Baxter equation

Alexander Stolin
Group22: Proceedings of the XXII International Colloquium in Group Theoretical Methods in Physics, p. 438-442
Paper in proceedings
1998

On Hopf-Frobenius algebras

Lars Kadison, Alexander Stolin
Preprint
1998

Deformation of Yangian Y(sl(2))

S.M. Khoroshkin, Alexander Stolin, V. Tolstoy
Communications in Algebra. Vol. 26 (4), p. 1041-1055
Journal article
1997

On the picard group of the integer group ring of the cyclic p-group and of rings close to it

Alexander Stolin
Lecture Notes in Pure and Applied Mathematics. Vol. 185, p. 443-455
Paper in proceedings
1997

New rational solutions of Yang-Baxter equation and deformed Yangians

Alexander Stolin, P.P. Kulish
Czechoslovak Journal of Physics. Vol. 47 (1), p. 123-129
Journal article
1997

On Frobenius algebras and the quantum Yang-Baxter equation

K.I. Beidar, Y. Fong, Alexander Stolin
Transactions of the American Mathematical Society. Vol. 349 (9), p. 3823-3836
Journal article
1997

On antipodes and integrals in Hopf algebras over rings and the quantum Yang-Baxter equation

K.I. Beidar, Y. Fong, Alexander Stolin
Journal of Algebra. Vol. 194 (1), p. 36-52
Journal article
1997

Deformed Yangians and integrable models

P.P. Kulish, Alexander Stolin
Czechoslovak Journal of Physics. Vol. 47 (12), p. 1207-1212
Journal article
1997

A nonintegrable sub-Riemannian geodesic flow on a Carnot group

R. Montgomery, M. Shapiro, Alexander Stolin
Journal of Dynamical and Control Systems. Vol. 3 (4), p. 519-530
Journal article
1996

Orbits of the coadjoint representation and Yang-Baxter equation

M.I. Gekhtman, Alexander Stolin
1st International Tainan-Moscow Algebra Workshop, p. 207-223
Paper in proceedings
1995

Generalized Gauss decomposition of trigonometric R-matrices

S. M. Khoroshkin, Alexander Stolin, V. N. Tolstoy
Modern Physics Letters A. Vol. 10 (19), p. 1375-1392
Journal article
1995

A geometrical approach to rational solutions of the classical Yang-Baxter equation.1.

Alexander Stolin
Conference A on Mathematics and Theoretical Physics, at the 2nd Gauss Symposium, p. 347-357
Paper in proceedings
1994

An explicit formula for the Picard group of the cyclic group of order p2

Alexander Stolin
Proceedings of the American Mathematical Society. Vol. 121 (2), p. 375-383
Journal article
1991

Constant solutions of Yang-Baxter equation for SI(2) and SI(3)

Alexander Stolin
Mathematica Scandinavica. Vol. 69 (1), p. 81-88
Journal article
1991

On rational solutions of Yang-Baxter equation for SI(N)

Alexander Stolin
Mathematica Scandinavica. Vol. 69 (1), p. 57-80
Journal article

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