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JCT
2011
84views more  JCT 2011»
13 years 1 months ago
Explicit separating invariants for cyclic P-groups
Abstract. We consider a finite dimensional indecomposable modular representation of a cyclic p-group and we give a recursive description of an associated separating set: We show t...
Müfit Sezer
JCT
2011
90views more  JCT 2011»
13 years 1 months ago
Extended Bressoud-Wei and Koike skew Schur function identities
Our recent paper [5] provides extensions to two classical determinantal results of Bressoud and Wei, and of Koike. The proofs in that paper were algebraic. The present paper conta...
A. M. Hamel, R. C. King
JCT
2011
71views more  JCT 2011»
13 years 1 months ago
Pseudograph associahedra
Given a simple graph G, the graph associahedron KG is a simple polytope whose face poset is based on the connected subgraphs of G. This paper defines and constructs graph associah...
Michael Carr, Satyan L. Devadoss, Stefan Forcey
JCT
2011
85views more  JCT 2011»
13 years 1 months ago
Substitution-closed pattern classes
The substitution closure of a pattern class is the class of all permutations obtained by repeated substitution. The principal pattern classes (those defined by a single restricti...
M. D. Atkinson, Nikola Ruskuc, Rebecca Smith
JCT
2011
100views more  JCT 2011»
13 years 1 months ago
On polynomial integrals over the orthogonal group
We consider integrals of type On ua1 11 . . . uan 1nub1 21 . . . ubn 2n du, with respect to the Haar measure on the orthogonal group. We establish several remarkable invariance pro...
Teodor Banica, Benoit Collins, Jean-Marc Schlenker