Hjalmar Rosengren

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The research area of Hjalmar Rosengren is special functions, with an emphasis on relations to other areas such as representation theory, combinatorics, number theory and mathematical physics. During recent years the main focus has been on the eight-vertex model and other elliptic lattice models of statistical mechanics, and their relation to elliptic quantum groups, elliptic hypergeometric functions and algebraic solutions of Painlevé equations.My real homepage is here. My real publication list is here.

Source: chalmers.se

Projects

2016–2019

Matematiken bakom supersymmetriska gittermodeller och supersymmetriska kvantfältteorier

Hjalmar Rosengren Department of Mathematical Sciences, Mathematics
Swedish Research Council (VR)

2016–2017

The mathematics of superconformal indicies

Hjalmar Rosengren Department of Mathematical Sciences, Mathematics
Knut and Alice Wallenberg Foundation

2011–2013

Algebraic and combinatorial analysis of elliptic lattice models

Hjalmar Rosengren Department of Mathematical Sciences, Mathematics
Swedish Research Council (VR)

There might be more projects where Hjalmar Rosengren participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2016

Basic hypergeometry of supersymmetric dualities

Ilmar Gahramanov, Hjalmar Rosengren,
Nuclear Physics B. Vol. 913, p. 747-768
Scientific journal article - peer reviewed
2016

Elliptic hypergeometric functions

Hjalmar Rosengren,
Preprint
2016

Integral pentagon relations for 3d superconformal indices

I. Gahramanov, Hjalmar Rosengren,
String-Math 2014. Vol. 93, p. 167-175
Conference paper - peer reviewed
2016

Elliptic pfaffians and solvable lattice models

Hjalmar Rosengren,
Journal of Statistical Mechanics: Theory and Experiment. Vol. 2016 (8), p. artikel nr 083106
Scientific journal article - peer reviewed
2016

Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole

Hjalmar Rosengren,
Journal of combinatorial theory. Series A. Vol. 138, p. 29-59
Scientific journal article - peer reviewed
2015

Special Polynomials Related to the Supersymmetric Eight-Vertex Model: A Summary

Hjalmar Rosengren,
Communications in Mathematical Physics. Vol. 340 (3), p. 1143-1170
Scientific journal article - peer reviewed
2014

Integral pentagon relations for 3d superconformal indices

Hjalmar Rosengren, Ilmar Gahramanov,
Preprint
2014

Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Mahdi Hormozi, F. Prus-Wisniowski, Hjalmar Rosengren et al
Journal of Mathematical Analysis and Applications. Vol. 419 (1), p. 428-432
Scientific journal article - peer reviewed
2014

Evaluation modules for the q-tetrahedron algebra

Tatsuro Ito, Hjalmar Rosengren, Paul Terwilliger et al
Linear Algebra and its Applications. Vol. 451, p. 107-168
Scientific journal article - peer reviewed
2013

A new pentagon identity for the tetrahedron index

Ilmar Gahramanov, Hjalmar Rosengren,
Journal of High Energy Physics (128)
Scientific journal article - peer reviewed
2012

New proofs of determinant evaluations related to plane partitions

Hjalmar Rosengren,
Electronic Journal of Combinatorics. Vol. 19 (4), p. Paper 15
Scientific journal article - peer reviewed
2011

Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System A(n)

Hjalmar Rosengren,
International Mathematics Research Notices (13), p. 2861-2920
Scientific journal article - peer reviewed
2011

The three-colour model with domain wall boundary conditions

Hjalmar Rosengren,
Advances in Applied Mathematics. Vol. 46 (1-4), p. 481-535
Scientific journal article - peer reviewed
2009

An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices

Hjalmar Rosengren,
Advances in Applied Mathematics. Vol. 43 (2), p. 137-155
Scientific journal article - peer reviewed
2008

Sums of squares from elliptic pfaffians

Hjalmar Rosengren,
International Journal of Number Theory. Vol. 4, p. 873-902
Scientific journal article - peer reviewed
2008

Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux

Hjalmar Rosengren,
Journal of Combinatorial Theory A. Vol. 115 (3), p. 376-406
Scientific journal article - peer reviewed
2007

Sums of triangular numbers from the Frobenius determinant

Hjalmar Rosengren,
Advances in Mathematics. Vol. 208, p. 935-961
Scientific journal article - peer reviewed
2007

An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)

Hjalmar Rosengren,
Ramanujan Journal. Vol. 13, p. 133-168
Scientific journal article - peer reviewed
2006

Multivariable Christoffel-Darboux kernels and characteristic polynomials of random Hermitian matrices

Hjalmar Rosengren,
Symmetry, Integrability and Geometry: Methods and Applications. Vol. 2, p. Paper 085
Scientific journal article - peer reviewed
2006

New transformations for elliptic hypergeometric series on the root system An

Hjalmar Rosengren,
Ramanujan Journal. Vol. 12, p. 155-166
Scientific journal article - peer reviewed
2006

Elliptic determinant evaluations and the Macdonald identities for affine root systems

Hjalmar Rosengren, Michael Schlosser,
Compositio Mathematica. Vol. 142, p. 937-961
Scientific journal article - peer reviewed
2005

An elliptic determinant transformation

Hjalmar Rosengren,
M. Noumi and K. Takasaki (eds.), Elliptic Integrable Systems, p. 241-246
Conference paper - non peer reviewed
2005

On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric series

Hjalmar Rosengren, Michael Schlosser,
Journal Of Computational and Applied Mathematics. Vol. 178, p. 377-391
Scientific journal article - peer reviewed
2005

A bilateral series involving basic hypergeometric functions

Hjalmar Rosengren,
M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman, p. 361-366
Conference paper - peer reviewed
2005

Continuous Hahn functions as Clebsch-Gordan coefficients

Hjalmar Rosengren, Erik Koelink, Wolter Groenevelt et al
M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman, p. 221-284
Conference paper - peer reviewed
2004

Sklyanin invariant integration

Hjalmar Rosengren,
International Mathematics Research Notices. Vol. 2004, p. 3207-3232
Scientific journal article - peer reviewed
2004

Elliptic U(2) quantum group and elliptic hypergeometric series

Hjalmar Rosengren, Erik Koelink, Yvette van Norden et al
Communications in Mathematical Physics. Vol. 245, p. 519-537
Scientific journal article - peer reviewed
2004

Elliptic hypergeometric series on root systems

Hjalmar Rosengren,
Advances in Mathematics. Vol. 181, p. 417-447
Scientific journal article - peer reviewed
2004

Reduction formulas for Karlsson-Minton-type hypergeometric functions

Hjalmar Rosengren,
Constructive Approximation. Vol. 20, p. 525-548
Scientific journal article - peer reviewed
2004

Duality and self-duality for dynamical quantum groups

Hjalmar Rosengren,
Algebras and Representation Theory. Vol. 7, p. 363-393
Scientific journal article - peer reviewed
2003

Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations

Hjalmar Rosengren, Michael Schlosser,
Indagationes Mathematicae. Vol. 14, p. 483-514
Scientific journal article - peer reviewed
2003

On a hypergeometric identity of Gelfand, Graev and Retakh

Hjalmar Rosengren, Christian Krattenthaler,
Journal of Computational and Applied Mathematics. Vol. 160, p. 147-158
Scientific journal article - peer reviewed
2003

Karlsson-Minton type hypergeometric functions on the root system Cn

Hjalmar Rosengren,
Journal of Mathematical Analysis and Applications. Vol. 281, p. 332-345
Scientific journal article - peer reviewed
2002

Transmutation kernels for the little q-Jacobi function transform

Hjalmar Rosengren, Erik Koelink,
Rocky Mountain Journal of Mathematics. Vol. 32, p. 703-738
Scientific journal article - peer reviewed
2001

A proof of a multivariable elliptic summation formula conjectured by Warnaar

Hjalmar Rosengren,
Contemporary Mathematics. Vol. 291, p. 193-202
Scientific journal article - peer reviewed
2001

Harmonic analysis on the SU(2) dynamical quantum group

Hjalmar Rosengren, Erik Koelink,
Acta Applicandae Mathematicae. Vol. 69, p. 163-220
Scientific journal article - peer reviewed