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The Computational Complexity of Immanants
SIAM Journal on Computing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Burgisser
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Some Conjectures for Immanants
Canadian Journal of Mathematics, 1992 AbstractWe present a series of conjectures for immanants, together with the supporting evidence we possess for them. The conjectures are loosely organized into three families. The first concerns inequalities involving the immanants of totally positive matrices (Le.,real matrices with nonnegative minors).
J. R. Stembridge
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Discrete Mathematics, 2010 We describe the rank 3 Temperley–Lieb–Martin algebras in terms of Kuperberg’s A2-webs. We define consistent labelings of webs and use them to describe the coefficients of decompositions into reduced webs. We introduce web immanants, inspired by Temperley–
Pavlo Pylyavskyy
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Descending chains of immanants [PDF]
Linear Algebra and Its Applications, 1992 The ordering of the immanants is considered, and a recently discovered dominance theorem is ...
Thomas Pate
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Linear transformations that preserve immanants [PDF]
Linear Algebra and Its Applications, 1994 We characterize the linear transformations on matrices that preserve the immanants, i.e., dχ(T(X))dχ(X) for all X, where χ is an irreducible character of degree greater than one on Sn.
M Antonia Duffner
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Immanants of combinatorial matrices [PDF]
Journal of Algebra, 1992 The arbitrary immanants of three matrices whose determinants are known to be generating functions for sets of combinatorial objects are examined. Combinatorial interpretations are given for the immanants of the Matrix-tree matrix, and a special case of ...
I P Goulden, D M Jackson
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Hecke algebras and immanants [PDF]
Linear Algebra and Its Applications, 1994 We describe how character values of certain Hecke algebras can be used to give linear combinations of immanants which are guaranteed to be positive on all Hermitian positive semidefinite matrices A.
Gordon James
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Inequalities involving immanants [PDF]
Linear Algebra and Its Applications, 1994 We summarize the recent progress toward determining the ordering of the normalized immanants regarded as generalized matrix functions and restricted to the n × n positive semidefinite Hermitian matrices.
Thomas Pate
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