6533b82efe1ef96bd12926f9

RESEARCH PRODUCT

MULTIPLICITIES IN THE MIXED TRACE COCHARACTER SEQUENCE OF TWO 3 × 3 MATRICES

Vesselin DrenskyGeorgi K. GenovA. Valenti

subject

Symmetric functionsymbols.namesakePure mathematicsPolynomialSequenceTrace (linear algebra)Degree (graph theory)General MathematicssymbolsField (mathematics)Invariant theoryMathematicsHilbert–Poincaré series

description

We find explicitly the multiplicities in the (mixed) trace cocharacter sequence of two 3 × 3 matrices over a field of characteristic 0 and show that asymptotically they behave as polynomials of seventh degree. As a consequence we obtain also the multiplicities of certain irreducible characters in the cocharacter sequence of the polynomial identities of 3 × 3 matrices.

yearjournalcountryeditionlanguage
2006-04-01International Journal of Algebra and Computation
https://doi.org/10.1142/s0218196706002974