A noncrossing basis for noncommutative invariants of SL(2, C)

作者：Lehner Franz^*

来源：Journal of Combinatorial Theory - Series A, 2011, 118(1): 257-269.

DOI：10.1016/j.jcta.2010.06.004

• Noncommutative invariants
• Free probability
• Noncrossing partitions
• Free cumulants
• Plucker relations
• Free stochastic measure
• Hilbert-Poincare series
• Symbolic method

Noncommutative invariant theory is a generalization of the classical invariant theory of the action of SL(2, C) on binary forms The dimensions of the spaces of invariant noncommutative polynomials coincide with the numbers of certain noncrossing partitions We give an elementary combinatorial explanation of this fact by constructing a noncrossing b

• 出版日期2011-1