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Restricted representations of classical Lie algebras of types ๐ดโ‚‚ and ๐ตโ‚‚

Restricted representations of classical Lie algebras of types ๐ดโ‚‚ and ๐ตโ‚‚

The dimensions of the finite dimensional irreducible restricted modules for a Lie algebra of classical type have never been determined.C. W. Curtis ([5], [6]) has given sufficient, but not necessary, conditions that the dimension be given by Weyl's formula.In this paper, we give results which determine the dimensions of a โ€ฆ