Classical Lie Algebras at Infinity

DOI10.1007/978-3-030-89660-7zbMath1490.17025OpenAlexW4206275755MaRDI QIDQ5015242

Crystal Hoyt, I. B. Penkov

Publication date: 6 December 2021

Published in: Springer Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-89660-7

zbMATH Keywords

integrable modulesfinite-dimensional Lie algebrasfiber bundlesweight modulessupergroupsKoszulitysupernatural numbersroot-reductive Lie algebrasfinite-dimensional Lie superalgebrasBott-Borel-Weil theoremgeneralized flagsflag supermanifoldsfinite-dimensional flagsgeneralized Harish--Chandra modulesinfinite-dimensional locally reductive Lie algebrasinfinite-dimensional locally reductive Lie superalgebrasLine bundlesmixed tensor productsreductive Ind-groupsshadow decompositionsplitting Borel subalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Homological methods in Lie (super)algebras (17B55) Lie algebras of linear algebraic groups (17B45) Algebraic operads, cooperads, and Koszul duality (18M70)

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