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Thursday, May 7, 2020 | History

9 edition of Frobenius Splitting Methods in Geometry and Representation Theory (Progress in Mathematics) found in the catalog.

Frobenius Splitting Methods in Geometry and Representation Theory (Progress in Mathematics)

by Michel Brion

  • 319 Want to read
  • 23 Currently reading

Published by Birkhäuser Boston .
Written in English

    Subjects:
  • Algebraic geometry,
  • Representations of groups,
  • Geometry - Algebraic,
  • Mathematics,
  • Science/Mathematics,
  • Mathematics / Geometry / Algebraic,
  • commutative alg/ring theory,
  • representation theory,
  • Frobenius algebras,
  • Geometry - General,
  • Algebraic varieties

  • The Physical Object
    FormatHardcover
    Number of Pages250
    ID Numbers
    Open LibraryOL8074705M
    ISBN 100817641912
    ISBN 109780817641917

    KAREN E. SMITH AND WENLIANG ZHANG representation theory of algebraic groups [MR85]. and “Frobenius Splitting Methods in Geometry and Representation Theory” by Brion and Kumar. Shrawan Kumar is the John R. and Louise S. Parker distinguished professor of mathematics at the University of North Carolina at Chapel has written two books: Kac-Moody groups, their flag varieties, and representation theory and Frobenius splitting methods in geometry and representation theory (jointly with Michel Brion). Born and raised in Ghazipur, India, Shrawan Kumar .

    CONTACT MAA. Mathematical Association of America 18th Street NW Washington, D.C. Phone: () - Phone: () - Fax: () -   Let X be an equivariant embedding of a connected reductive group G over an algebraically closed field k of positive characteristic. Let B denote a Borel subgroup of G.A G-Schubert variety in X is a subvariety of the form diag (G) ⋅ V, where V is a B × B-orbit closure in the case where X is the wonderful compactification of a group of adjoint type, the G-Schubert varieties are the Cited by:

    Idea. Geometric representation theory studies representations (of various symmetry objects like algebraic groups, Hecke algebras, quantum groups, quivers etc.) realizing them by geometric means, e.g. by geometrically defined actions on sections of various bundles or sheaves as in geometric quantization (see at orbit method), D-modules, perverse sheaves, deformation quantization modules and so on. Georg Frobenius's father was Christian Ferdinand Frobenius, a Protestant parson, and his mother was Christine Elizabeth was born in Charlottenburg which was a district of Berlin which was not incorporated into the city until He entered the Joachimsthal Gymnasium in when he was nearly eleven years old and graduated from the school in


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Frobenius Splitting Methods in Geometry and Representation Theory (Progress in Mathematics) by Michel Brion Download PDF EPUB FB2

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major by: “This is a truly fantastic book.

It is the first comprehensive text on Frobenius splitting and its applications to geometry and representation theory. If this was a one-paragraph review, I would say buy the book, study it carefully and then apply the contents to a research project’.Manufacturer: Birkhäuser.

Introduction. The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory.

This work, unique in book literature, systematically develops the theory and covers all its major developments. * Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and.

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. File format: pdf File Name: Frobenius Splitting Methods in Geometry and Representation Theory - M.

Brion, S. Kumar (Birkhauser, ) Size: MB Uploaded: 12/21/ Status: AVAILABLE. Frobenius splitting methods in geometry and representation theory. By Michel Brion and Shrawan Kumar. Cite. BibTex; Full citation; Topics: Mathematical Physics and Mathematics. Publisher: Springer. Year: DOI Author: Michel Brion and Shrawan Kumar.

Home / Books / Non-Fiction / Science & Technology / Mathematics / (ebook) Frobenius Splitting Methods in Geometry and Representation Theory Locations where this product is available This item is not currently in stock in Dymocks stores - contact your local store to order.

Frobenius Splitting and Ordinarity Splitting sections and duality for Frobenius Let Xbe a smooth,projective variety of dimension n,with canonical bundle recall a criteria for X to be Frobenius split [15, Proposition 7].

Since any global map OX → OX is a constant,in order to split X,it is enough to produce a section F∗OX → OX. mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory.

Representation theory was born in in the work of the German mathematician F. Frobenius. This work was triggered by a letter to Frobenius by R. Size: KB. Frobenius Splitting Methods in Geometry and Representation Theory (Progress The Painter's Secret Geometry: A Study of Composition in Art; The Painter's Secret Geometry: A Study of Composition in Art; Differential Geometry and Analysis on CR Manifolds (Progress in Mathematics.

Frobenius Splitting Methods in Geometry and Representation Theory (Progress in Mathematics) Categories: E-Books & Audio Books pages | English | ISBN |. The purpose of these lectures is to give a gentle introduction to Frobenius splitting, or more broadly “Frobenius techniques”, for beginners.

Frobenius splitting has inspired a vast arsenal of techniques in commutative algebra, alge-braic geometry, and representation theory.

Many related techniques have File Size: KB. Part of the Progress in Mathematics book series (PM, volume ) Abstract This chapter is devoted to the general study of Frobenius split schemes, a notion introduced by Mehta-Ramanathan and refined further by Ramanan-Ramanathan (see 1.C for more precise references).

The aim of this seminar is to present the main aspects of the theory of Frobenius Splitting. This notion was introduced in the 's to study the geometry of Schubert varieties. It is a powerful tool coming as its name indicates from positive characteristic situations but it.

> math > arXiv All fields Title Author(s) Abstract Comments Journal reference ACM classification MSC classification Report number arXiv identifier DOI ORCID arXiv author ID Author: Xuhua He, Jesper Funch Thomsen. Get this from a library. Frobenius splitting methods in geometry and representation theory.

[Michel Brion; S Kumar] -- "This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups."--Jacket. Books Authored: Kac-Moody Groups, Their Flag Varieties and Representation Theory, Progress in Mathematics vol.

Birkhauser, Boston, Pages (Aug. [Table of Contents] Frobenius Splitting Methods in Geometry and Representation Theory (with M. Brion), Progress in Mathematics vol.Birkhauser, Boston, Pages (Dec.

Frobenius Splitting Methods in Geometry and Representation Theory by Michel Brion and a great selection of related books, art and collectibles available now at References.

Brion and S. Kumar, Frobenius splitting methods in geometry and representation theory, Progr. Math.,Birkhäuser, Boston, Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share.

Frobenius splitting and geometry of G-Schubert varieties Article in Advances in Mathematics (5) December with 32 Reads How we measure 'reads'.On the coherence conjecture of Pappas and Rapoport Pages from Volume "On tensor categories attached to cells in affine Weyl groups," in Representation Theory of Algebraic Groups and Quantum Groups, Tokyo: Math [BK] M.

Brion and S. Kumar, Frobenius Splitting Methods in Geometry and Representation Theory, Boston, MA: Birkhäuser Cited by: Frobenius splitting.

From Wikipedia, the free encyclopedia. Jump to navigation Jump to search. In mathematics, a Frobenius splitting, introduced by Mehta and Ramanthan (), is a splitting of the injective morphism O X →F * O X from a structure sheaf O X of a characteristic p > 0 variety X to its image F * O X under the Frobenius endomorphism F *.