Results 31 to 40 of about 1,008,178 (322)
Set-partition tableaux and representations of diagram algebras [PDF]
, 2019 The partition algebra is an associative algebra with a basis of set-partition diagrams and multiplication given by diagram concatenation. It contains as subalgebras a large class of diagram algebras including the Brauer, planar partition, rook monoid ...
Halverson, Tom, Jacobson, Theodore N.
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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
, 2008 It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Thiem, Nathaniel
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Geometry of configurations in tangent groups
AIMS Mathematics, 2020 This article relates the Grassmannian complexes of geometric configurations to the tangent to the Bloch-Suslin complex and to the tangent to Goncharov’s motivic complex. By means of morphisms, we bring the geometry of configurations in tangent groups, $T\
Raziuddin Siddiqui
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Pseudo-Permutations II: Geometry and Representation Theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 In this paper, we provide the second part of the study of the pseudo-permutations. We first derive a complete analysis of the pseudo-permutations, based on hyperplane arrangements, generalizing the usual way of translating the permutations. We then study
François Boulier +3 more
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On the separation of eigenvalues by the permutation group
Special Matrices, 2014 Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.
Cigler Grega, Jerman Marjan
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Words and polynomial invariants of finite groups in non-commutative variables [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $V$ be a complex vector space with basis $\{x_1,x_2,\ldots,x_n\}$ and $G$ be a finite subgroup of $GL(V)$. The tensor algebra $T(V)$ over the complex is isomorphic to the polynomials in the non-commutative variables $x_1, x_2, \ldots, x_n$ with ...
Anouk Bergeron-Brlek +2 more
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Charting the Real Four-Qubit Pauli Group via Ovoids of a Hyperbolic Quadric of PG(7,2) [PDF]
, 2012 The geometry of the real four-qubit Pauli group, being embodied in the structure of the symplectic polar space W(7,2), is analyzed in terms of ovoids of a hyperbolic quadric of PG(7,2), the seven-dimensional projective space of order two.
Levay, Peter +2 more
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Symmetric cohomology of groups [PDF]
Journal of Algebra, 2018 We investigate the relationship between the symmetric, exterior and classical cohomologies of groups. The first two theories were introduced respectively by Staic and Zarelua. We show in particular, that there is a map from exterior cohomology to symmetric cohomology which is a split monomorphism in general and an isomorphism in many cases, but not ...
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition
Igor Pak, Greta Panova, Ernesto Vallejo
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Symmetric differentials and the fundamental group
, 2013 Esnault asked whether every smooth complex projective variety with infinite fundamental group has a nonzero symmetric differential (a section of a symmetric power of the cotangent bundle).
Brunebarbe, Yohan +2 more
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