Initial 发表于 2025-3-25 03:43:03
Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroupsple direct limit Lie algebras. This depends on the recently developed structure of parabolic subgroups and subalgebras that are not necessarily direct limits of finite-dimensional parabolics. We then discuss the use of that structure theory for the infinite-dimensional analog of the classical princi共同时代 发表于 2025-3-25 09:06:32
Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties,arieties, parabolic Kazhdan–Lusztig polynomials, equivalences of categories of highest weight modules, BGG resolutions of unitary highest weight modules, and finally, syzygies and Hilbert series of determinantal varieties.Glucocorticoids 发表于 2025-3-25 13:03:55
http://reply.papertrans.cn/89/8840/883989/883989_23.pngFID 发表于 2025-3-25 18:05:10
Pieri algebras and Hibi algebras in representation theory,, that uses pairs of semistandard tableaux, rather than a single one. SAGBI theory and toric deformation are key tools. The deformed double Pieri algebras are described using a doubled version of Gelfand–Tsetlin patterns. The approach allows the discussion to avoid dealing with relations between generators.initiate 发表于 2025-3-25 23:16:52
Ricci flow and manifolds with positive curvature,es the positivity of the complex sectional curvature. We discuss the examples of Wallach of the manifolds with positive pinched sectional curvature and the behavior of Ricci flow on some examples. Finally we discuss the recent joint work with Wilking on the manifolds with pinched flag curvature and some open problems.Herpetologist 发表于 2025-3-26 03:13:13
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Book 2014D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach,CHURL 发表于 2025-3-26 19:37:02
0743-1643 , T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach,978-1-4939-4384-5978-1-4939-1590-3Series ISSN 0743-1643 Series E-ISSN 2296-505X