Brian D. Boe

activity

20062024

most citedCohomology and Support Varieties for Lie Superalgebras II

30 citations · 93 across the 15 of their papers we have counts for

collaborators

16 papers

math.AG2024

Singular loci of Schubert varieties and the Lookup Conjecture in type $A ~_{2}$

Brian D. Boe, William Graham

We describe the loci of non-rationally smooth (nrs) points and of singular points for any non-spiral Schubert variety of $A ~_{2}$ in terms of the geometry of the (affine) Weyl…

math.RT2020

Complexity and Support Varieties for Type P Lie Superalgebras

Brian D. Boe, Jonathan R. Kujawa

We compute the complexity, z-complexity, and support varieties of the (thick) Kac modules for the Lie superalgebras of type P. We also show the complexity and the z-complexity have…

math.RT2017★ 12 cited

Tensor Triangular Geometry for Quantum Groups

Brian D. Boe, Jonathan R. Kujawa, Daniel K. Nakano

Let $g$ be a complex simple Lie algebra and let $U_{ζ} (g)$ be the corresponding Lusztig $Z [q, q^{- 1}]$ -form of the quantized enveloping algebra special…

math.RT2015★ 2 cited

Extensions for Generalized Current Algebras

Brian D. Boe, Christopher M. Drupieski, Tiago R. Macedo +1

Given a complex semisimple Lie algebra $g$ and a commutative $C$ -algebra $A$ , let $g [A] = g \otimes A$ be the corresponding generalize…

math.RT2014

Tensor Triangular Geometry for Classical Lie Superalgebras

Brian D. Boe, Jonathan R. Kujawa, Daniel K. Nakano

Tensor triangular geometry as introduced by Balmer is a powerful idea which can be used to extract the ambient geometry from a given tensor triangulated category. In this paper we…

math.RT2013★ 4 cited

Bounding the dimensions of rational cohomology groups

Christopher P. Bendel, Brian D. Boe, Christopher M. Drupieski +4

Let $k$ be an algebraically closed field of characteristic $p > 0$ , and let $G$ be a simple simply-connected algebraic group over $k$ that is defined and split over the prime field…