Polynomial representations of GLn
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Polynomial representations of GLn by J. A. Green

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Published by Springer in Berlin, New York .
Written in English

Subjects:

  • Linear algebraic groups,
  • Symmetry groups,
  • Representations of groups

Book details:

Edition Notes

Other titlesSchensted correspondence and Littelmann paths
StatementJ.A. Green
SeriesLecture notes in mathematics -- 830, Lecture notes in mathematics (Springer-Verlag) -- 830
ContributionsErdmann, Karin, 1948-, Schocker, Manfred
The Physical Object
Paginationix, 161 p. :
Number of Pages161
ID Numbers
Open LibraryOL18215416M
ISBN 103540469443
ISBN 109783540469445

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The first half of this book contains the text of the first edition of LNM volume , Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The first half of this book contains the text of the first edition of LNM volume , Polynomial Representations of GL classic account of matrix representations, the Schur algebra, the modular representations of GL n, and connections with symmetric groups, has been the basis of much research in representation theory.. The second half is an Appendix, and can be read independently of the Cited by: Polynomial Representations of Gln (Lecture Notes in Mathematics) by James Alexander Green (Author) ISBN ISBN Why is ISBN important? ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gl appendix also offers complete proofs of classical theorems of Schensted and : $

The first half of this book contains the text of the first edition of LNM volume , Polynomial Representations of GL classic account of matrix representations, the Schur algebra, the modular representations of GL n, and connections with symmetric groups, has been the basis of much research in representation theory.. The second half is an Appendix, and can be read independently of the Brand: Springer-Verlag Berlin Heidelberg. Polynomial representations of general linear groups and modules over Schur algebras are compared. We work over an arbitrary commutative ring and show that Schur-Weyl duality is the key for an. Abstract. The first half of this book contains the text of the first edition of LNM volume , Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation : James A Green. Moreover, for certain n-part partitions the reduction formulas for p-Kostka numbers given in A. Henke, S. Koenig [Relating polynomial GLn-representations in different degree, J. Reine Angew. Math Author: Anne Henke.

[ADDED] It's not clear how far one can conceptualize the polynomial result, but at least for the induced representations which give irreducibles it's obvious how this property follows recursively. General linear group of a vector space. If V is a vector space over the field F, the general linear group of V, written GL(V) or Aut(V), is the group of all automorphisms of V, i.e. the set of all bijective linear transformations V → V, together with functional composition as group V has finite dimension n, then GL(V) and GL(n, F) are isomorphic. Entdecken Sie "Polynomial Representations of GL_n" von James A. Green und finden Sie Ihren Buchhändler. The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers . Definition Group representations. If, are linear representations of a group, then their tensor product is the tensor product of vector spaces ⊗ with the linear action of uniquely determined by the condition that ⋅ (⊗) = (⋅) ⊗ (⋅) for all ∈ and ∈.Although not every element of ⊗ is expressible in the form ⊗, the universal property of the tensor product operation guarantees.