| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil
[2] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090 - Russia
[3] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119992 - Russia
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Israel Journal of Mathematics; v. 245, n. 2 OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We study asymptotic behaviour of graded and non-graded codimensions of simple Jordan superalgebras over a field of characteristic zero. It is known that the PI-exponent of any finite-dimensional associative or Jordan or Lie algebra A is a non-negative integer less than or equal to the dimension of algebra A. Moreover, the PI-exponent is equal to the dimension if and only if A is simple provided that the base field is algebraically closed. In the present paper we prove that for a Jordan superalgebra P(t) = H(M-t divide t, trp) its non-graded and DOUBLE-STRUCK CAPITAL Z(2)-graded exponents are strictly less than dim P(t). In particular, exp P(2) is fractional. (AU) | |
| FAPESP's process: | 19/02510-2 - Polynomial identities and numerical invariants |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |