On toric degenerations of flag varieties

Fang, X., Fourier, G. and Littelmann, P. (2017) On toric degenerations of flag varieties. In: Krause, H., Littlemann, P., Malle, G., Neeb, K.-H. and Schweigert, C. (eds.) Representation Theory: Current Trends and Perspectives. Series: EMS series of congress reports. European Mathematical Society: Zürich, Switzerland, pp. 187-232. ISBN 9783037191712 (doi: 10.4171/171-1/8)

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Publisher's URL: http://www.ems-ph.org/books/book.php?proj_nr=216

Abstract

Following the historical track in pursuing TT-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton–Okounkov bodies, PBW-filtrations and cluster algebras come to push the subject forward.

Item Type:Book Sections
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Fourier, Dr Ghislain
Authors: Fang, X., Fourier, G., and Littelmann, P.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:European Mathematical Society
ISBN:9783037191712

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