Representation Theory and Geometry of the Flag Variety
McGovern, William M.,
Representation Theory and Geometry of the Flag Variety William M. McGovern. - 1 online resource (VIII, 128 p.) - De Gruyter Studies in Mathematics , 90 0179-0986 ; .
Frontmatter -- Preface -- Contents -- 1 Preliminaries -- 2 Polynomial representations and the flag variety -- 3 Associated, characteristic, and orbital varieties -- 4 Singularities of orbit closures -- 5 Kazhdan-Lusztig polynomials and the Hecke algebra -- 6 Lusztig-Vogan polynomials and Harish-Chandra modules -- 7 Pattern avoidance and singularities of orbit closures -- 8 Springer fibers -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec
This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities. Associated varieties and characteristic cycles are covered as well and Kazhdan-Lusztig polynomials are treated. The coverage concludes with a discussion of pattern avoidance and singularities and some recent results on Springer fibers.
Mode of access: Internet via World Wide Web.
William M. McGovern, University of Washington, USA.
In English.
9783110766943
10.1515/9783110766943 doi
MATHEMATICS / General.
MATHEMATICS / Algebra / General.
MATHEMATICS / Algebra / Abstract.
MATHEMATICS / Geometry / General.
MATHEMATICS / Geometry / Algebraic.
Darstellungstheorie lineare Transformationen Vektorräume Geometrie Polynomial representations orbital varieties Kazhdan-Lusztig polynomials Hecke algebra Lusztig-Vogan polynomials pattern avoidance Polynomial representations, orbital varieties, Kazhdan-Lusztig polynomials, Hecke algebra, Lusztig-Vogan polynomials, pattern avoidance
Representation Theory and Geometry of the Flag Variety William M. McGovern. - 1 online resource (VIII, 128 p.) - De Gruyter Studies in Mathematics , 90 0179-0986 ; .
Frontmatter -- Preface -- Contents -- 1 Preliminaries -- 2 Polynomial representations and the flag variety -- 3 Associated, characteristic, and orbital varieties -- 4 Singularities of orbit closures -- 5 Kazhdan-Lusztig polynomials and the Hecke algebra -- 6 Lusztig-Vogan polynomials and Harish-Chandra modules -- 7 Pattern avoidance and singularities of orbit closures -- 8 Springer fibers -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec
This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities. Associated varieties and characteristic cycles are covered as well and Kazhdan-Lusztig polynomials are treated. The coverage concludes with a discussion of pattern avoidance and singularities and some recent results on Springer fibers.
Mode of access: Internet via World Wide Web.
William M. McGovern, University of Washington, USA.
In English.
9783110766943
10.1515/9783110766943 doi
MATHEMATICS / General.
MATHEMATICS / Algebra / General.
MATHEMATICS / Algebra / Abstract.
MATHEMATICS / Geometry / General.
MATHEMATICS / Geometry / Algebraic.
Darstellungstheorie lineare Transformationen Vektorräume Geometrie Polynomial representations orbital varieties Kazhdan-Lusztig polynomials Hecke algebra Lusztig-Vogan polynomials pattern avoidance Polynomial representations, orbital varieties, Kazhdan-Lusztig polynomials, Hecke algebra, Lusztig-Vogan polynomials, pattern avoidance