AbstractBialgebras, defined by means of Yang–Baxter operators which verify the Hecke equation, are considered. It is shown that they are Koszul algebras. Their Poincaré series are calculated via the Poincaré series of the corresponding quantum planes
We give a new proof of the quantum version of MacMahon’s master theorem due to Garoufalidis, Le ̂ an...
28 pages, LatexWe define quantum matrix groups GL(3) by their coaction on appropriate quantum planes...
28 pages, LaTeXThe quantum dynamical Yang-Baxter (or Gervais-Neveu-Felder) equation defines an R-mat...
AbstractBialgebras, defined by means of Yang–Baxter operators which verify the Hecke equation, are c...
AbstractFor a Hecke operator R, one defines the matrix bialgebra ER, which is considered as function...
17 pagesInternational audienceWe determine all inhomogeneous Yang-Mills algebras and super Yang-Mill...
ABSTRACT. We give a new proof of the quantum version of MacMahon’s Master Theorem due to Garoufalidi...
Abstract. The universal enveloping algebra Uptrnq of a Lie algebra associated to the classical Yang-...
AbstractIn this paper we prove a general Poincaré–Birkhoff–Witt theorem for quadratic Koszul algebra...
© 2020 European Mathematical Society Publishing House. All rights reserved. A Hecke symmetry R on a ...
International audienceThis article is devoted to graded algebras A having a single homogeneous relat...
This paper answers a few questions about algebraic aspects of bialgebras, associated with the family...
International audienceThis article is devoted to graded algebras A having a single homogeneous relat...
In this thesis, we present a detailed exposition of Koszul algebras and Koszul duality. We begin wit...
Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of m...
We give a new proof of the quantum version of MacMahon’s master theorem due to Garoufalidis, Le ̂ an...
28 pages, LatexWe define quantum matrix groups GL(3) by their coaction on appropriate quantum planes...
28 pages, LaTeXThe quantum dynamical Yang-Baxter (or Gervais-Neveu-Felder) equation defines an R-mat...
AbstractBialgebras, defined by means of Yang–Baxter operators which verify the Hecke equation, are c...
AbstractFor a Hecke operator R, one defines the matrix bialgebra ER, which is considered as function...
17 pagesInternational audienceWe determine all inhomogeneous Yang-Mills algebras and super Yang-Mill...
ABSTRACT. We give a new proof of the quantum version of MacMahon’s Master Theorem due to Garoufalidi...
Abstract. The universal enveloping algebra Uptrnq of a Lie algebra associated to the classical Yang-...
AbstractIn this paper we prove a general Poincaré–Birkhoff–Witt theorem for quadratic Koszul algebra...
© 2020 European Mathematical Society Publishing House. All rights reserved. A Hecke symmetry R on a ...
International audienceThis article is devoted to graded algebras A having a single homogeneous relat...
This paper answers a few questions about algebraic aspects of bialgebras, associated with the family...
International audienceThis article is devoted to graded algebras A having a single homogeneous relat...
In this thesis, we present a detailed exposition of Koszul algebras and Koszul duality. We begin wit...
Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of m...
We give a new proof of the quantum version of MacMahon’s master theorem due to Garoufalidis, Le ̂ an...
28 pages, LatexWe define quantum matrix groups GL(3) by their coaction on appropriate quantum planes...
28 pages, LaTeXThe quantum dynamical Yang-Baxter (or Gervais-Neveu-Felder) equation defines an R-mat...
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