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math.RT2016
Maximum antichains in posets of quiver representations
Florian Gellert, Philipp Lampe
We study maximum antichains in two posets related to quiver representations. Firstly, we consider the set of isomorphism classes of indecomposable representations ordered by inclus…
math.RT2011★ 9 cited
Quantum cluster algebras of type A and the dual canonical basis
Philipp Lampe
The article concerns the subalgebra U_v^+(w) of the quantized universal enveloping algebra of the complex Lie algebra sl_{n+1} associated with a particular Weyl group element of le…
math.RT2010★ 9 cited
A quantum cluster algebra of Kronecker type and the dual canonical basis
Philipp Lampe
The article concerns the dual of Lusztig's canonical basis of a subalgebra of the positive part U_q(n) of the universal enveloping algebra of a Kac-Moody Lie algebra of type A_1^{(…