Finite Dimensional Algebras and Quantum Groups

By B. Deng. 2008

93 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/68deae56847899be01f0b9753526dc7f45d506fd

Citations in the corpus

• Truncations of level 1 of elements in the loop group of a reductive group (2009, unknown): “ugh to show that for every simple root αin Msuch that x(α) is a root in M′, this root is also simple. We have 1+ℓ(x) = ℓ(xsα) = ℓ(xsαx−1)+ℓ(x) where the last equality uses that xsαx−1 ∈ WM′ , compare [DDPW], Lemma 4.17. Hence ℓ(xsαx−1) = 1, and x(α) is simple. We apply this first to u−1 i−1 ∈ W M 1∩ ”