Results 41 to 50 of about 4,745 (95)
Homologies of Algebraic Structures via Braidings and Quantum Shuffles [PDF]
, 2012 In this paper we construct "structural" pre-braidings characterizing different algebraic structures: a rack, an associative algebra, a Leibniz algebra and their representations. Some of these pre-braidings seem original.
Lebed, Victoria
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Toroidal and level 0 U'_q(\hat{sl_{n+1}}) actions on U_q(\hat{gl_{n+1}}) modules
, 1998 (1) Utilizing a Braid group action on a completion of U_q(\hat{sl_{n+1}}), an algebra homomorphism from the toroidal algebra U_q(sl_{n+1,tor}) (n\ge 2) with fixed parameter to a completion of U_q(\hat{gl_{n+1}}) is obtained. (2) The toroidal actions by
Drinfeld V. G., Kei Miki
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Local equivalence and refinements of Rasmussen's s‐invariant
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
On Hopf monoids in duoidal categories
, 2013 Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if the unit of A determines an A-Galois extension.
Böhm, Gabriella +2 more
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Idealization properties of comultiplication modules
New Zealand Journal of Mathematics, 2020 In our previous work we gave a treatment of certain aspects of multiplication modules, projective modules, flat modules and like-cancellation modules via idealization. The purpose of this work is to continue our study and develop the tool of idealization in the context of comultiplication modules.
openaire +2 more sources
Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi +3 more
wiley +1 more source
ON QUASI COMULTIPLICATION MODULES OVER PULLBACK RINGS
International Electronic Journal of Algebra, 2019 Let \(R\) be a commutative ring and \(M\) be an \(R\)-module. A proper ideal \(I\) of \(R\) is called quasi-prime (or in some texts, strongly irreducible), if for each pair of ideals \(A\) and \(B\) of \(R\), \(A\cap B\subseteq I\) yields either \(A\subseteq I\) or \(B\subseteq I\).
ATANİ, S. Ebrahimi +1 more
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Asymmetric graphs with quantum symmetry
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract We present an infinite sequence of finite graphs with trivial automorphism group and non‐trivial quantum automorphism group. These are the first known examples of graphs with this property. Moreover, to the best of our knowledge, these are the first examples of any asymmetric classical space that has non‐trivial quantum symmetries.
Josse van Dobben de Bruyn +2 more
wiley +1 more source
Quantum continuous $gl_\infty$: Tensor products of Fock modules and $W_n$ characters
, 2010 We construct a family of irreducible representations of the quantum continuous $gl_\infty$ whose characters coincide with the characters of representations in the minimal models of the $W_n$ algebras of $gl_n$ type.
Feigin, B. +4 more
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Averaging multipliers on locally compact quantum groups
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws +2 more
wiley +1 more source