AbstractLet X = (xij)n×n be the generic matrix of the quantum group K[GLq(n)]. First we prove that X satisfies two quantum characteristic equations, both become the classical characteristic equation when q = 1. Second we prove a quantum version of Muir's formula for X
AbstractA fundamental result in representation theory is Kostantʼs theorem which describes the algeb...
A major contribution to the theory of quantum finite W-algebras in type A comes from the work of J. ...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
AbstractLet X = (xij)n×n be the generic matrix of the quantum group K[GLq(n)]. First we prove that X...
AbstractGenerators and relations are given for the subalgebra of cocommutative elements in the quant...
69 pagesFor families of orthogonal and symplectic types quantum matrix (QM-) algebras, we derive cor...
AbstractThe quantum groups GLq(n) and SLq(n) are defined as pairs of Hopf algebras, and it is shown ...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
We study how the classical Hamilton's principal and characteristic functions are generated from the ...
Multiparametric quantum semigroups $\mathrm{M}_{\hat{q}, \hat{p}}(n)$ are generalization of the one-...
6 pages, submitted to the Proceedings of 7-th International Colloquium "Quantum Groups and Integrabl...
The properties of two matrix quantum algebras - algebra of equation for reflection and RTT-algebra c...
Certain polynomials in n² variables which serve as generating functions for symmetric group characte...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some represent...
AbstractA fundamental result in representation theory is Kostantʼs theorem which describes the algeb...
A major contribution to the theory of quantum finite W-algebras in type A comes from the work of J. ...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
AbstractLet X = (xij)n×n be the generic matrix of the quantum group K[GLq(n)]. First we prove that X...
AbstractGenerators and relations are given for the subalgebra of cocommutative elements in the quant...
69 pagesFor families of orthogonal and symplectic types quantum matrix (QM-) algebras, we derive cor...
AbstractThe quantum groups GLq(n) and SLq(n) are defined as pairs of Hopf algebras, and it is shown ...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
We study how the classical Hamilton's principal and characteristic functions are generated from the ...
Multiparametric quantum semigroups $\mathrm{M}_{\hat{q}, \hat{p}}(n)$ are generalization of the one-...
6 pages, submitted to the Proceedings of 7-th International Colloquium "Quantum Groups and Integrabl...
The properties of two matrix quantum algebras - algebra of equation for reflection and RTT-algebra c...
Certain polynomials in n² variables which serve as generating functions for symmetric group characte...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some represent...
AbstractA fundamental result in representation theory is Kostantʼs theorem which describes the algeb...
A major contribution to the theory of quantum finite W-algebras in type A comes from the work of J. ...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
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