Representation Theory and Geometry of the Flag Variety
Seiten
2022
De Gruyter (Verlag)
978-3-11-076690-5 (ISBN)
De Gruyter (Verlag)
978-3-11-076690-5 (ISBN)
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
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.
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.
William M. McGovern, University of Washington, USA
| Erscheinungsdatum | 26.10.2022 |
|---|---|
| Reihe/Serie | De Gruyter Studies in Mathematics ; 90 |
| Zusatzinfo | 20 b/w tbl. |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 360 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Darstellungstheorie • Geometrie • Hecke algebra • Kazhdan-Lusztig polynomials • Kazhdan–Lusztig polynomials • lineare Transformationen • Lusztig-Vogan polynomials • Lusztig–Vogan polynomials • orbital varieties • pattern avoidance • Polynomial representations • Polynomial representations, orbital varieties, Kazhdan-Lusztig polynomials, Hecke algebra, Lusztig-V • Polynomial representations, orbital varieties, Kazhdan–Lusztig polynomials, Hecke algebra, Lusztig–Vogan polynomials, pattern avoidance • Vektorräume |
| ISBN-10 | 3-11-076690-6 / 3110766906 |
| ISBN-13 | 978-3-11-076690-5 / 9783110766905 |
| Zustand | Neuware |
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Buch | Softcover (2022)
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CHF 55,95
