Results 51 to 60 of about 622,832 (86)
Quantum cluster algebras: Oberwolfach talk, February 2005 [PDF]
arXiv, 2005 This is an extended abstract of my talk at the Oberwolfach-Workshop "Representation Theory of Finite-Dimensional Algebras" (February 6 - 12, 2005). It gives self-contained and simplified definitions of quantum cluster algebras introduced and studied in a joint work with A.Berenstein (math.QA/0404446).
arxiv
Centralizers in Free Associative Algebras and Generic Matrices
, 2019 In this short note, we complete a proof of Bergman's centralizer theorem for the free associative algebra using generic matrices approach based on our previous work Alexei Kanel Belov, Farrokh Razavinia, Wenchao Zhang, "Bergman's Centralizer Theorem and ...
Kanel-Belov, Alexei +2 more
core
Vertex operator algebras and the representation theory of toroidal algebras [PDF]
arXiv, 2001 An explicit vertex operator algebra construction is given of a class of irreducible modules for toroidal Lie algebras.
arxiv
Cosemisimple Hopf algebras with antipode of arbitrary finite order [PDF]
arXiv, 2002 We show that there exists cosemisimple Hopf algebras of arbitrary finite even order. We also discuss the Schur indicator for such Hopf algebras.
arxiv
Operator Representations of a q-Deformed Heisenberg Algebra [PDF]
, 1998 A class of well-behaved *-representations of a q-deformed Heisenberg algebra is studied and classified.
arxiv +1 more source
Deformations of coalgebra morphisms [PDF]
Journal of Algebra 307 (2007), 106-115, 2006 An algebraic deformation theory of coalgebra morphisms is constructed.
arxiv
Quotients and Hopf Images of a Smash Coproduct [PDF]
arXiv, 2015 We describe the Hopf algebra quotients and Hopf images of the smash coproduct of a group algebra by the algebra of functions on a finite group.
arxiv
Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras
, 2017 All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions.
K. Goodearl, M. Yakimov
semanticscholar +1 more source
Deformation quantization of vertex Poisson algebras [PDF]
arXiv, 2016 We introduce dg Lie algebras controlling the deformations of vertex algebras and vertex Poisson algebras, utilizing the notion of operadic dg Lie algebra and the theory of chiral algebra. In terms of those dg Lie algebras, we formulate the deformation quantization problem of vertex Poisson algebras to vertex algebras.
arxiv