Zobrazeno 1 - 10
of 4 223
pro vyhledávání: '"17B37"'
Autor:
Cooke, Juliet, Laugwitz, Robert
We give presentations, in terms of the generators and relations, for the reflection equation algebras of type $GL_n$ and $SL_n$, i.e., the covariantized algebras of the dual Hopf algebras of the small quantum groups of $\mathfrak{gl}_n$ and $\mathfra
Externí odkaz:
http://arxiv.org/abs/2412.16004
We formulate a positivity conjecture relating the Verlinde ring associated with an untwisted affine Lie algebra at a positive integer level and a subcategory of finite-dimensional representations over the corresponding quantum affine algebra with a c
Externí odkaz:
http://arxiv.org/abs/2412.14601
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:
Murata, Haruto
We prove that the category of finitely generated graded modules over the quiver Hecke algebra of arbitrary type admits numerous stratifications in the sense of Kleshchev. A direct consequence is that the full subcategory corresponding to the quantum
Externí odkaz:
http://arxiv.org/abs/2412.12903
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:
Hu, Naihong, Zhong, Xin
We consider the positive parts $U_q^{+}$ of the quantum affine superalgebra $U_q(C(2)^{(2)})$ and the quantum admissible affine algebra $\mathcal{U}_q(\widehat{\mathfrak{s l}}_2)$ newly defined in \cite{HZ}, which both have presentations with two gen
Externí odkaz:
http://arxiv.org/abs/2412.03048
Autor:
Li, Yiyu, Peng, Liangang
Let $\mathcal{A}$ be an arbitrary hereditary abelian category. Lu and Peng defined the semi-derived Ringel-Hall algebra $SH(\mathcal{A})$ of $\mathcal{A}$ and proved that $SH(\mathcal{A})$ has a natural basis and is isomorphic to the Drinfeld double
Externí odkaz:
http://arxiv.org/abs/2412.00841
We extend the graphical calculus developed in the first part of this paper to the parametrising spaces of quantum vertex operators. This involves a graphical implementation of the dynamical twist functor, which is a strict monoidal functor that descr
Externí odkaz:
http://arxiv.org/abs/2411.17306
In [DGLW], we use certain special elements and their commutation relations in the Hecke-Clifford algebras $H^c_{r,R}$ to derive some fundamental multiplication formulas associated with the natural bases in queer $q$-Schur superalgebras $Q_q(n,r;R)$ i
Externí odkaz:
http://arxiv.org/abs/2411.14764