Whitney algebras and Letterplace superalgebras
نویسنده
چکیده
I’ll give an outline of the theory of Whitney algebras of a matroid, with the notions of geometric product and the excahnge relations, I’ll give the letterplace superalgebra coding of these algebras, and I’ll show how this coding allows to get the exchange relations directly from the superstraightening laws. I’ll not speak about the Lax Hopf algebra structure of Whitney algebras. All this is part of a work in progress with A. Brini, H. Crapo, W. Schmitt. For the theory of Whitney algebras, I refer to H. Crapo, W. Schmitt; J. Combin. Theory Ser. A 91 (2000), no. 1-2, 215–263. For the theory of letterplace superalgebras and letterplace coding of the basic algebras, I refer to A. Brini; Sém. Lothar. Combin. 55 (2005/07), Art. B55g
منابع مشابه
Combinatorics, Superalgebras, Invariant Theory and Representation Theory
We provide an elementary introduction to the (characteristic zero) theory of Letterplace Superalgebras, regarded as bimodules with respect to the superderivation actions of a pair of general linear Lie superalgebras, and discuss some applications.
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