Twisted Generalized Weyl Algebras, Polynomial Cartan Matrices and Serre-Type Relations
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Publication:3079285
DOI10.1080/00927870903366926zbMath1213.16015arXiv0908.2054OpenAlexW2963010555MaRDI QIDQ3079285
Publication date: 2 March 2011
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2054
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Rings of differential operators (associative algebraic aspects) (16S32) Ring-theoretic aspects of quantum groups (16T20)
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Twisted generalized Weyl algebras and primitive quotients of enveloping algebras ⋮ Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras. ⋮ Noncommutative fiber products and lattice models ⋮ Clifford and Weyl superalgebras and spinor representations ⋮ Multiparameter twisted Weyl algebras. ⋮ Classification of twisted generalized Weyl algebras over polynomial rings ⋮ Cylindrical Dyck paths and the Mazorchuk-Turowska equation ⋮ On the consistency of twisted generalized Weyl algebras ⋮ Fixed rings of twisted generalized Weyl algebras
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