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Principal Indecomposable Representations for Restricted Lie Algebras of Cartan Type

✍ Scribed by S. Chiu

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 607 KB
Volume: 155
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1036

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✦ Synopsis

Let (L) be any one of (W(n, 1), S(n, 1), H(n, 1)), and (K(n, 1)) over an algebraically closed field (F) of characteristic (p>3). In this paper, we extend the results concerning modular representations of classical Lie algebras and semisimple groups to the case of (L) and obtain some properties of principal indecomposable modules of (u(L)) which parallel closely those of classical Lie algebras. 1993 Academic Press. Inc.

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