Totally positive sequences and \(R\)-matrix quadratic algebras

DOI10.1007/BF02677498zbMath1026.16013OpenAlexW2009819744MaRDI QIDQ1580380

Alexei Davydov

Publication date: 14 September 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677498

zbMATH Keywords

Poincaré seriesHilbert seriesquadratic algebras\(R\)-matricesKoszul algebrascotriangular Hopf algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quadratic and Koszul algebras (16S37)

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Boolean Witt vectors and an integral Edrei-Thoma theorem ⋮ On the graded algebras associated with Hecke symmetries. II: The Hilbert series ⋮ Koszul algebras and their ideals. ⋮ Braided algebras and their applications to noncommutative geometry ⋮ The rank-generating functions of upho posets ⋮ Yang-Baxter representations of the infinite symmetric group ⋮ Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type

Cites Work

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• Some remarks on Koszul algebras and quantum groups
• Quantization of Poisson pairs: The \(R\)-matrix approach
• Koszul property and Poincaré series of matrix bialgebras of type \(A_ n\)
• Power series with integral coefficients
• Koszul Resolutions