Let E be the unitary infinite dimensional Grassmann algebra over a field of characteristic zero. In this paper we consider the algebra M1,1(E) endowed with the involution ∗ given by (aE_11+ bE_12+ cE_21+dE_22)∗ = dE_11+ bE_12+-cE_21+aE_22. We will obtain the explicit decomposition of the ∗-cocharacter sequences and we will determine the ∗-codimension sequences of this algebra.
On *-cocharacters of M_{1,1}(E)
DI VINCENZO, Onofrio Mario;
2013-01-01
Abstract
Let E be the unitary infinite dimensional Grassmann algebra over a field of characteristic zero. In this paper we consider the algebra M1,1(E) endowed with the involution ∗ given by (aE_11+ bE_12+ cE_21+dE_22)∗ = dE_11+ bE_12+-cE_21+aE_22. We will obtain the explicit decomposition of the ∗-cocharacter sequences and we will determine the ∗-codimension sequences of this algebra.File in questo prodotto:
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