Alexander Stolin

Topological Lie Bialgebras, Manin Triples and Their Classification Over g[[x]]

2023

Topological Manin pairs and (n, s) -type series

2020

Classification of Quantum Groups via Galois Cohomology

2018

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

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

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

Quantum Groups: From the Kulish–Reshetikhin Discovery to Classification

2016

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

Classification of Quantum Groups and Belavin-Drinfeld Cohomologies

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

Quantum groups: from Kulish-Reshetikhin discovery to classification

Belavin-Drinfeld cohomologies and introduction to classification of quantum groups

Quantized Reduced Fusion Elements and Kostant’s Problem

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

2014

Deformed Richardson-Gaudin model

Equivariant quantization of Poisson homogeneous spaces and Kostant's problem

3Quantum: Algebra, Geometry, Information

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

Quantum deformed Richardson-Gaudin model

Poisson Structures Compatible with the Cluster Algebra Structure in Grassmannians

Algebra, Geometry, and Mathematical Physics 2010

Algebraic Bethe ansatz for deformed Gaudin model

Classification of Lie bialgebras over current algebras

Bethe ansatz for the deformed Gaudin model

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

Generalized Lie Theory in Mathematics, Physics and Beyond, Preface

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

25 Years of Quantum Groups: from Definition to Classification

Proceedings of the 3rd Baltic-Nordic Workshop AGMF

Generalized Lie Theory in Mathematics, Physics, and Beyond

Lagrangian Subalgebras and Quasi-trigonometric r-matrices

Irreducible highest weight modules and equivariant quantization

Rational solutions of CYBE for simple compact real Lie algebras

Differential calculi on some quantum prehomogeneous vector spaces

Spherical principal series of quantum Harish-Chandra modules

Irreducible highest weight modules and equivariant quantization.

A quantum analogue of the bernstein functor

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

The 4th structure

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

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

From dynamical to non-dynamical twists

2005

Construction of a universal twist element from an R-matrix

Rational solutions of CYBE for simple compact real Lie algebras

Dynamical twists and quantization

Noncommutative geometry and representation theory in mathematical physics. Papers from the Satellite Conference to the 4th European Congress of Mathematics held at Karlstad University, Karlstad, July 5--10, 2004.

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

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

Fine structure of class groups Cl^(p) Q(zeta_n) and the Kervaire-Murthy conjectures

Fine structure of class groups Cl^(p) Q(zeta_n) and the Kervaire-Murthy conjectures II

Picard groups of integer group rings and units in cyclotomic fields

Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras

An approach to Hopf algebras via Frobenius coordinates II

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

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

On the Kervaire-Murthy conjectures

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

Separability and Hopf algebras

Nakayama automorphisms of finite projective Hopf Algebras

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

Frobenius systems and Hopf Algebras over rings

Some remarks on Lie bialgebra structures on simple complex Lie Algebras

On Hopf-Frobenius algebras

Deformation of Yangian Y(sl(2))

Generalized trigonometric solutions of the classical Yang-Baxter equation

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

A nonintegrable sub-Riemannian geodesic flow on a Carnot group

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

On Frobenius algebras and the quantum Yang-Baxter equation

Deformed Yangians and integrable models

On the Picard group of the integer group ring of the cyclic $P$-group and certain Galois groups

New rational solutions of Yang-Baxter equation and deformed Yangians

Rational solutions of the classical Yang-Baxter equation and quasi Frobenius Lie algebras

Orbits of the coadjoint representation and Yang-Baxter equation

Generalized Gauss decomposition of trigonometric R-matrices

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

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

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

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