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Invariant theory in exterior algebras. (English) Zbl 1298.15036
Yang, Jae-Hyun (ed.), Geometry, number theory and representation theory. Proceedings of the international conference, Inha University, Incheon, Republic of Korea, October 10–12, 2012. Seoul: KM Kyung Moon SA (ISBN 978-89-88615-35-5/pbk). 113-123 (2013).
Summary: This article presents some results in the invariant theory for exterior algebras. These results are parallel with results in classical invariant theory for polynomial algebras, but this similarity is not so trivial. These results are also related to the Amitsur-Levitzki identity and its analogues in the theory of polynomial identities.
For the entire collection see [Zbl 1284.00072].
15A72 Vector and tensor algebra, theory of invariants
15A75 Exterior algebra, Grassmann algebras
05E05 Symmetric functions and generalizations