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This article is cited in 1 scientific paper (total in 1 paper)
Universal Verma modules and $W$-resolvents over Kač–Moody algebras
D. P. Zhelobenko Peoples Friendship University of Russia
Abstract:
We consider new aspects of extremal equations over symmetrizable Kač–Moody algebras. We develop new methods (reproducing classical finite-dimensional results) that can be applied to infinite-dimensional (affine) Lie algebras. We describe special extensions of universal enveloping algebras, investigate the fine structure of $W$-resolvents, and use these methods to investigate “extremal projectors” over Kač–Moody algebras.
Received: 10.06.1999
Citation:
D. P. Zhelobenko, “Universal Verma modules and $W$-resolvents over Kač–Moody algebras”, TMF, 122:3 (2000), 334–356; Theoret. and Math. Phys., 122:3 (2000), 278–297
Linking options:
https://www.mathnet.ru/eng/tmf571https://doi.org/10.4213/tmf571 https://www.mathnet.ru/eng/tmf/v122/i3/p334
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