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COMBINATORICS
2007
67views more  COMBINATORICS 2007»
13 years 5 months ago
Non-Commutative Sylvester's Determinantal Identity
Sylvester’s identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several non-commutative extensions, an...
Matjaz Konvalinka
TCS
2010
13 years 14 days ago
Combinatorics of labelling in higher-dimensional automata
The main idea for interpreting concurrent processes as labelled precubical sets is that a given set of n actions running concurrently must be assembled to a labelled ncube, in exac...
Philippe Gaucher
ACS
2010
13 years 5 months ago
Graded and Koszul Categories
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel paper...
Roberto Martínez-Villa, Øyvind Solbe...
IJAC
2010
58views more  IJAC 2010»
13 years 3 months ago
R-Polynomials of Finite Monoids of Lie Type
This paper studies the combinatorics of the orbit Hecke algebras associated with W
Kürsat Aker, Mahir Bilen Can, Müge Taski...
COMBINATORICS
2006
108views more  COMBINATORICS 2006»
13 years 5 months ago
Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosa...