Gröbner basis and Anick's resolution for U_{F_2}(sl^+_3)
We compute three first steps of a minimal projective resolution for the trivial module over U_{F_2}(sl^+_3).
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arXiv subjects
Ivan Yudin
Publications and source records attributed to Ivan Yudin.
The Kostant form of $\mathfrak{U}(sl_n^+)$ and the Borel subalgebra of the Schur algebra S(n,r)
Let $A_n(K)$ be the Kostant form of $\mathfrak{U}(sl_n^+)$ and $Γ$ the monoid generated by the positive roots of $sl_n$. For each $λ\in Λ(n,r)$ we construct a functor $F_λ$ from the category of finitely generated $Γ$-graded $A_n(K)$-modules to the category of finite dimensional $S^+(n,r)$-modules, with the property that $F_λ$ maps (minimal) projective resolutions of the one-dimensional $A_n(K)$-module $K_{A}$ to (minimal) projective resolutions of the simple $S^+(n,r)$-module $K_λ$.
math.RT↗