Results 1 to 10 of about 1,336,081 (334)
arXiv, 2010 Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
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Centrification of algebras and Hopf algebras [PDF]
Canadian Mathematical Bulletin, 2021 AbstractWe investigate a method of construction of central deformations of associative algebras, which we call centrification. We prove some general results in the case of Hopf algebras and provide several examples.
Matthew Westaway, Dmitriy Rumynin
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Higher level affine Schur and Hecke algebras [PDF]
, 2020 We define a higher level version of the affine Hecke algebra and prove that, after completion, this algebra is isomorphic to a completion of Webster's tensor product algebra of type A.
Maksimau, Ruslan, Stroppel, Catharina
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Algebraic entropy for algebraic maps [PDF]
Journal of Physics A: Mathematical and Theoretical, 2015 17 ...
Hone, A. N. W. +2 more
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Omni-Lie 2-algebras and their Dirac structures [PDF]
, 2011 We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2-algebra structures on 2-sub-vector spaces of a 2-vector space $\V$ and ...
Baez +14 more
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Logical Methods in Computer Science, 2017 Logical Methods in Computer Science ; Volume 13, Issue 3 ...
Hofmann, Dirk, Sousa, Lurdes
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A $q$-analogue of derivations on the tensor algebra and the $q$-Schur-Weyl duality [PDF]
, 2015 This paper presents a $q$-analogue of an extension of the tensor algebra given by the same author. This new algebra naturally contains the ordinary tensor algebra and the Iwahori-Hecke algebra type $A$ of infinite degree.
Itoh, Minoru
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On the Gauss algebra of toric algebras [PDF]
Journal of Algebraic Combinatorics, 2019 Accepted for publication in Journal of Algebraic ...
Herzog, Jürgen +2 more
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Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras [PDF]
Annals of Physics, 2022 We discuss a procedure to determine finite sets $\mathcal{M}$ within the commutant of an algebraic Hamiltonian in the enveloping algebra of a Lie algebra $\mathfrak{g}$ such that their generators define a quadratic algebra. Although independent from any realization of Lie algebras by differential operators, the method is partially based on an ...
Rutwig Campoamor-Stursberg +1 more
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Filtered algebraic algebras [PDF]
Proceedings of the American Mathematical Society, 2010 Small and Zelmanov posed the question whether every element of a graded algebra over an uncountable field must be nilpotent, provided that the homogeneous elements are nilpotent. This question has recently been answered in the negative by A. Smoktunowicz.
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