Results 11 to 20 of about 21,852 (89)
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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Classification of irreducible modules of W_3 algebra with c = -2
, 1997 We construct irreducible modules V_{\alpha}, \alpha \in \C over W_3 algebra with c = -2 in terms of a free bosonic field. We prove that these modules exhaust all the irreducible modules of W_3 algebra with c = -2.
Wang, Weiqiang
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The Drinfel'd Double and Twisting in Stringy Orbifold Theory
, 2007 This paper exposes the fundamental role that the Drinfel'd double $\dkg$ of the group ring of a finite group $G$ and its twists $\dbkg$, $\beta \in Z^3(G,\uk)$ as defined by Dijkgraaf--Pasquier--Roche play in stringy orbifold theories and their twistings.
Adem A. +7 more
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Modules and Morita theorem for operads
, 2001 Associative rings A, B are called Morita equivalent when the categories of left modules over them are equivalent. We call two classical linear operads P, Q Morita equivalent if the categories of algebras over them are equivalent.
Kapranov, M., Manin, Yu.
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Multigraded Hilbert Series of noncommutative modules
, 2018 In this paper, we propose methods for computing the Hilbert series of multigraded right modules over the free associative algebra. In particular, we compute such series for noncommutative multigraded algebras.
La Scala, Roberto, Tiwari, Sharwan K.
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Twisting adjoint module algebras
, 2010 Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist.
Andrey Mudrov +9 more
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On $H$-simple not necessarily associative algebras
, 2018 An algebra A with a generalized H-action is a generalization of an H-module algebra where H is just an associative algebra with 1 and a relaxed compatibility condition between the multiplication in A and the H-action on A holds.
Gordienko, Alexey
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Operadic comodules and (co)homology theories [PDF]
, 2014 An operad describes a category of algebras and a (co)homology theory for these algebras may be formulated using the homological algebra of operads. A morphism of operads $f:\mathcal{O}\rightarrow\mathcal{P}$ describes a functor allowing a $\mathcal{P ...
Griffin, James
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The enveloping algebra of a Lie algebra of differential operators
, 2020 The aim of this note is to prove various general properties of a generalization of the full module of first order differential operators on a commutative ring - a $\operatorname{D}$-Lie algebra.
Maakestad, Helge Øystein
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
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