The hilbert series of the polynomial identities for the tensor square of the grassmann algebra |
| |
| Authors: | Luisa Carini Vesselin Drensky |
| |
| Institution: | 1. Dipartimento di Matematica, Università di Messina, Salita Sperone 31, 98166, Sant’Agata, (Italy)
2. Istitute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 8, 1113, Sofia, (Bulgaria)
|
| |
| Abstract: | LetE be the Grassmann (or exterior) algebra of an infinite-dimensional vector space over a fieldK of characteristic 0. We compute the Hilbert series of the relatively free algebraF m(varE?K E)=K(x l,...,x m) /(T(E?K E)∩K〈x l,...,x m〉) of the variety of algebrasvarE?KE, whereT(E?K E) is the set of all polynomial identities forE?K EE from the free associative algebraK〈x 1,x2…〉. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
