105 citations · 167 across the 23 of their papers we have counts for
5 papers · 1 filter
A class of left quantum groups modeled after SL_q(n)
Aaron Lauve, Earl J. Taft
For each n >1, we construct a left quantum group, i.e., a left Hopf algebra H generated by comatrix units X_{ij} and modeled after SL_q(n), which has a left antipode but no right a…
Hopf quivers and Nichols algebras in positive characteristic
Claude Cibils, Aaron Lauve, Sarah Witherspoon
We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique b…
Quasideterminants and q-commuting minors
Aaron Lauve
We present two new proofs of the the important q-commuting property holding among certain pairs of quantum minors of an n x n q-generic matrix. The first uses elementary quasideter…
Flag varieties for the Yangian Y(gl_n)
Aaron Lauve
We show that the Yangian Yn over gl_n possesses some features of the ring of regular functions on GL_n. In particular, we use the theory of quasideterminants to construct noncommut…
Quantum- and Quasi-Plucker Coordinates
Aaron Lauve
We demonstrate a passage from the "quasi-Plucker coordinates" of Gelfand and Retakh, to the quantum Plucker coordinates built from q-generic matrices. In the process, we rediscover…