Results 51 to 60 of about 4,745 (95)
Pentagon equation and matrix bialgebras
, 2000 We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pentagon equation is extended to the non-unitary case.
Davydov, A.
core +1 more source
Modular representations of the Yangian Y2$Y_2$
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Let Y2$Y_2$ be the Yangian associated to the general linear Lie algebra gl2$\mathfrak {gl}_2$, defined over an algebraically closed field k$\mathbb {k}$ of characteristic p>0$p>0$. In this paper, we study the representation theory of the restricted Yangian Y2[p]$Y^{[p]}_2$.
Hao Chang, Jinxin Hu, Lewis Topley
wiley +1 more source
پژوهشهای ریاضی, 2020 Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract We construct a family of solvable lattice models whose partition functions include p$p$‐adic Whittaker functions for general linear groups from two very different sources: from Iwahori‐fixed vectors and from metaplectic covers. Interpolating between them by Drinfeld twisting, we uncover unexpected relationships between Iwahori and metaplectic ...
Ben Brubaker +3 more
wiley +1 more source
A remark on twists and the notion of torsion-free discrete quantum groups
, 2011 In this paper twists of reduced locally compact quantum groups are studied. Twists of the dual coaction on a reduced crossed product are introduced and the twisted dual coactions are proved to satisfy a type of Takesaki-Takai duality.
Goffeng, Magnus
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Equivariant resolutions over Veronese rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
wiley +1 more source
The spectrum of a twisted commutative algebra
Proceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.Abstract A twisted commutative algebra is (for us) a commutative Q$\mathbf {Q}$‐algebra equipped with an action of the infinite general linear group. In such algebras, the “GL$\mathbf {GL}$‐prime” ideals assume the duties fulfilled by prime ideals in ordinary commutative algebra, and so it is crucial to understand them.
Andrew Snowden
wiley +1 more source
, 2016 Based on the novel notion of `weakly counital fusion morphism', regular weak multiplier bimonoids in braided monoidal categories are introduced.
Böhm, Gabriella +2 more
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Braiding for the quantum gl_2 at roots of unity [PDF]
, 2004 In our preceding papers we started considering the categories of tangles with flat G-connections in their complements, where G is a simple complex algebraic group.
Kashaev, R., Reshetikhin, N.
core
The large sum graph related to comultiplication modules
Le Matematiche, 2016 Let R be a commutative ring and M be an R-module. We define the large sum graph, denoted by \acute{G}(M), as a graph with the vertex set of non-large submodules of M and two distinct vertices are adjacent if and only if N + K is a non-large submodule of M. In this article, we investigate the connection between the graph-theoretic properties of \acute{G}
Habibollah Ansari-Toroghy +1 more
openaire +2 more sources