Zobrazeno 1 - 10
of 253
pro vyhledávání: '"17B37, 81R50"'
Quantum differential operators on Reflection Equation Algebras, corresponding to Hecke symmetries R were introduced in previous publications. In the present paper we are mainly interested in quantum analogs of the Laplace and Casimir operators, which
Externí odkaz:
http://arxiv.org/abs/2412.13373
Autor:
Fujita, Ryo
We introduce a collection of injective homomorphisms among the quantum Grothendieck rings of finite-dimensional modules over the quantum loop algebras of type $\mathrm{A}$. In the classical limit, it specializes to the inflation among the usual Groth
Externí odkaz:
http://arxiv.org/abs/2412.11881
Consider a Lie subalgebra $\mathfrak{l} \subset \mathfrak{g}$ and an $\mathfrak{l}$-invariant open submanifold $V \subset \mathfrak{l}^{\ast}$. We demonstrate that any smooth dynamical twist on $V$, valued in $U(\mathfrak{g}) \otimes U(\mathfrak{g})\
Externí odkaz:
http://arxiv.org/abs/2412.09039
Autor:
Gurevich, Dimitry, Saponov, Pavel
We consider the so-called generalized Harish-Chandra morphism, taking the center of the enveloping algebra U(gl(N)) to the commutative algebra generated by eigenvalues of the generating matrix of this algebra, and generalize this construction to Refl
Externí odkaz:
http://arxiv.org/abs/2411.01303
We propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2+1 dimensions. These enhanced theories offer more powerful models for quantum computation. The conventi
Externí odkaz:
http://arxiv.org/abs/2410.14860
Publikováno v:
Pacific J. Math. 329 (2024) 357-395
We obtain the basic $R$-matrix of the two-parameter Quantum group $U=U_{r,s}\mathcal(\mathfrak{so}_{2n})$ via its weight representation theory and determine its $R$-matrix with spectral parameters for the two-parameter quantum affine algebra $U=U_{r,
Externí odkaz:
http://arxiv.org/abs/2405.06581
Autor:
Mazurenko, Alexander
We construct a Hopf superalgebra structure for a Drinfeld super Yangian of Lie superalgebra $B(m,n)$ relative to all possible choices of Borel subalgebras. In order to do this we introduce a simplified definition of Drinfeld super Yangians.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2309.09735
Autor:
Naoi, Katsuyuki
Publikováno v:
Transformation Groups (2024)
The extended $T$-systems are a number of short exact sequences in the category of finite-dimensional modules over the quantum affine algebras of types $A_n^{(1)}$ and $B_n^{(1)}$, introduced by Mukhin and Young as a generalization of the $T$-systems.
Externí odkaz:
http://arxiv.org/abs/2305.15681
Let ${\mathbf U}^-_q$ be the negative half of the quantum group associated to a Kac-Moody algebra ${\mathfrak g}$, and $\underline{\mathbf U}^-_q$ the quantum group obtained by a folding of ${\mathfrak g}$. Let ${\mathbf A} = {\mathbf Z}[q,q^{-1}]$.
Externí odkaz:
http://arxiv.org/abs/2210.10279
We construct a minimalistic presentation of Drinfeld super Yangians in the case of special linear superalgebra associated with an arbitrary Dynkin diagram. This gives us a possibility to introduce Hopf superalgebra structure on Drinfeld super Yangian
Externí odkaz:
http://arxiv.org/abs/2210.08365