Parametrizations of Canonical Bases and Totally Positive Matrices

Identifieur interne : 001859 ( Istex/Checkpoint ); précédent : 001858; suivant : 001860

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Parametrizations of Canonical Bases and Totally Positive Matrices

Auteurs : Arkady Berenstein ; Sergey Fomin ; Andrei Zelevinsky

Source :

• Advances in Mathematics [ 0001-8708 ] ; 1996.

RBID : ISTEX:B8B43E64009CEE59F21962FE2756D908CD75DB9A

English descriptors

• KwdEn :
  • Admissible pair, Admissible pairs, Algebra, Alternative description, Ansatz, Arbitrary ground semiring, Arbitrary permutation, Associative, Associative algebra, Automorphism, Baxter, Berenstein, Bijection, Bijective correspondence, Birational, Birational automorphism, Birational isomorphism, Bruhat, Bruhat order, Canonical, Canonical bases, Canonical basis, Chamber ansatz, Chamber ansatz substitution, Chamber sets, Coefficient, Combinatorial, Combinatorics, Consecutive entries, Corollary, Corresponding arrangement, Corresponding flag, Diagonal matrix, Disjoint, Disjoint union, Dual canonical basis, Duality, Elementary jacobi matrices, Elementary transition maps, Endpoint, Explicit formula, Explicit formulas, Factorization, Flag minors, Fomin, Formal power series, General formula, Generalizes, Generic, Ground semifield, Ground semiring, Highest weight, Horizontal lines, Immediate consequence, Important role, Integer, Inverse bijection, Irreducible, Irreducible factors, Irreducible polynomials, Isomorphism, Isotopy class, Laurent, Laurent polynomial, Lemma, Lieb, Linear algebra appl, Lop8m, Lusztig, Lusztig variety, Main results, Matrix, Matrix entries, Maximal element, Minimal triples, Minimization, Minimization formulas, Minors, Monomial, Monomial basis, Monomials, Multisegment duality, Natural bijection, Newton polytope, Nonnegative, Nonnegative integer coefficients, Nonnegative integers, Normal orderings, Normalization, Normalization condition, Normalization conditions, Notation, Other hand, Other words, Page codes, Parametrizations, Permutation, Positive matrices, Positive matrix, Positive roots, Positivity, Proposition, Proposition theorem, Quantum groups, Quiver, Rational expression, Rational expressions, Rational function, Rational functions, Resp, Right boundary, Semifield, Semiring, Sign vector, Simple roots, Special case, Square matrix, Subgroup, Subset, Such formulas, Tableau, Temperley, Temperley lieb algebra, Theorem, Total number, Total positivity, Total positivity criteria, Transition maps, Tropical semifield, Tropical semiring, Unipotent, Unipotent matrices, Unique element, Unitriangular matrices, Vertical line, Vertical strip, Weight function, Whole group, Yang baxter equation, Yang baxter equations, Young tableaux, Zelevinsky, Zelevinsky proposition.
• Teeft :
  • Admissible pair, Admissible pairs, Algebra, Alternative description, Ansatz, Arbitrary ground semiring, Arbitrary permutation, Associative, Associative algebra, Automorphism, Baxter, Berenstein, Bijection, Bijective correspondence, Birational, Birational automorphism, Birational isomorphism, Bruhat, Bruhat order, Canonical, Canonical bases, Canonical basis, Chamber ansatz, Chamber ansatz substitution, Chamber sets, Coefficient, Combinatorial, Combinatorics, Consecutive entries, Corollary, Corresponding arrangement, Corresponding flag, Diagonal matrix, Disjoint, Disjoint union, Dual canonical basis, Duality, Elementary jacobi matrices, Elementary transition maps, Endpoint, Explicit formula, Explicit formulas, Factorization, Flag minors, Fomin, Formal power series, General formula, Generalizes, Generic, Ground semifield, Ground semiring, Highest weight, Horizontal lines, Immediate consequence, Important role, Integer, Inverse bijection, Irreducible, Irreducible factors, Irreducible polynomials, Isomorphism, Isotopy class, Laurent, Laurent polynomial, Lemma, Lieb, Linear algebra appl, Lop8m, Lusztig, Lusztig variety, Main results, Matrix, Matrix entries, Maximal element, Minimal triples, Minimization, Minimization formulas, Minors, Monomial, Monomial basis, Monomials, Multisegment duality, Natural bijection, Newton polytope, Nonnegative, Nonnegative integer coefficients, Nonnegative integers, Normal orderings, Normalization, Normalization condition, Normalization conditions, Notation, Other hand, Other words, Page codes, Parametrizations, Permutation, Positive matrices, Positive matrix, Positive roots, Positivity, Proposition, Proposition theorem, Quantum groups, Quiver, Rational expression, Rational expressions, Rational function, Rational functions, Resp, Right boundary, Semifield, Semiring, Sign vector, Simple roots, Special case, Square matrix, Subgroup, Subset, Such formulas, Tableau, Temperley, Temperley lieb algebra, Theorem, Total number, Total positivity, Total positivity criteria, Transition maps, Tropical semifield, Tropical semiring, Unipotent, Unipotent matrices, Unique element, Unitriangular matrices, Vertical line, Vertical strip, Weight function, Whole group, Yang baxter equation, Yang baxter equations, Young tableaux, Zelevinsky, Zelevinsky proposition.

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• https://api.istex.fr/document/B8B43E64009CEE59F21962FE2756D908CD75DB9A/fulltext/pdf

DOI: 10.1006/aima.1996.0057

Affiliations:

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