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Article overview
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On KV, AT and compatibility between cup products | Carlo A. Rossi
; | Date: |
31 May 2012 | Abstract: | For a finite-dimensional Lie algebra $mathfrak g$ over a field $mathbb K$
of characteristic 0 which contains $mathbb C$, we deduce from the
compatibility between cup products [Kontsevich, Section 8] and the vanishing of
the weights associated to wheel graphs with spokes pointing inwards Shoikhet an
alternative way of re-writing the Kontsevich $star$-product on $mathrm
S(mathfrak g)$ using the Alekseev-Torossian flat connection (Alekseev and
Torossian). Further, we deduce directly from the Kashiwara-Vergne conjecture a
similar way of re-writing $star$. | Source: | arXiv, 1205.7029 | Services: | Forum | Review | PDF | Favorites |
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