Equivariant multiplicities via representations of quantum affine algebras. [PDF]
Sel Math New Ser, 2023 Casbi E, Li JR.
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Representations of matched pairs of groupoids and applications to weak Hopf algebras
, 2004 We introduce the category of set-theoretic representations of a matched pair of groupoids. This is a monoidal category endowed with a monoidal functor to the category of quivers over the common base of the groupoids in the matched pair (the forgetful functor).
Aguiar, Marcelo +1 more
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Co-actions, Isometries, and isomorphism classes of Hilbert modules. [PDF]
Adv Oper Theory, 2021 Kučerovský DZ.
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
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Quantum Grothendieck rings as quantum cluster algebras. [PDF]
J Lond Math Soc, 2021 Bittmann L.
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An application of Hopf-algebra techniques to representations of finite classical groups
Journal of Algebra, 1991 The goal of this paper is to develop a Hopf algebra approach to representation theory of classical groups over finite fields. For the case of general liner groups this was made by \textit{A. V. Zelevinsky} [Representations of finite classical groups, a Hopf algebra approach (Lect. Notes Math. 869, 1981; Zbl 0465.20009)].
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Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
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The Yangian relations of Heisenberg spin chain model. [PDF]
Sci Rep, 2021 Du G, Xue K, Zhou C.
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Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. [PDF]
Entropy (Basel), 2022 Vitanov NK.
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The stable Picard group of Hopf algebras via descent, and an application
, 2016 Let $A$ be a cocommutative finite dimensional Hopf algebra over the field with two elements, satisfying some mild hypothesis. We set up a descent spectral sequence which computes the Picard group of the stable category of modules over $A$. The starting point is the observation that the stable category of $A$-modules can be reconstructed, as an $\infty$-
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