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COMBINATORICS
2007
67views more  COMBINATORICS 2007»
14 years 11 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
73
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TCS
2010
14 years 6 months 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
14 years 11 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»
14 years 9 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»
14 years 11 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...