G. Lonergan

activity

20152018

most citedA remark on descent for Coxeter groups

2 citations · 6 across the 6 of their papers we have counts for

collaborators

7 papers

math.RT2018★ 2 cited

Steenrod Operators, the Coulomb Branch and the Frobenius Twist, I

Gus Lonergan

In Part I, we use Steenrod's construction to prove that the quantum Coulomb branch is a Frobenius-constant quantization. We will also demonstrate the corresponding result for the $…

math.RT2017★ 2 cited

Parity Sheaves and Smith Theory

Spencer Leslie, Gus Lonergan

Let $p$ be a prime number and let $X$ be a complex algebraic variety with an action of $Z / p Z$ . We develop the theory of parity complexes in a certain $2$ -periodic…

math.RT2017★ 2 cited

A remark on descent for Coxeter groups

Gus Lonergan

Let $Γ$ be a finite Coxeter group with reflection representation $R$ . We show that a $Γ$ -equivariant quasicoherent sheaf on $R$ descends to the quotient space $R //Γ$ if it descends…

math.RT2017

A Fourier transform for the quantum Toda lattice

Gus Lonergan

We introduce an algebraic Fourier transform for the quantum Toda lattice.

math.RT2016

A Strong Splitting of the Frobenius Morphism on the Algebra of Distributions of $S L_{2}$

Gus Lonergan

Let $p$ be a prime number, and let $D i s t (S L_{2})$ be the algebra of distributions, supported at $1$ , on the algebraic group $S L_{2}$ over $F_{p}$ . The Frobenius map $Fr:SL_2\to…

math.RT2015

Signatures of Multiplicity Spaces in tensor products of $sl_{2}$ and $U_{q} (sl_{2})$ Representations

Shashwat Kishore, Gus Lonergan

We study multiplicity space signatures in tensor products of representations of $sl_{2}$ and $U_{q} (sl_{2})$ , and give some applications. We completely classify def…

math.RA2015

The Lower Central Series of the Quotient of a Free Algebra

Lev Kendrick, Gus Lonergan

Let $L_{i} (R)$ denote the $i^{th}$ term of the lower central series of an associative algebra $R$ , and let $B_{i} (R) = L_{i} (R) / L_{i + 1} (R)$ . We show that $B_2(\mathbb{C}<x, y>/ P)\c…

Steenrod Operators, the Coulomb Branch and the Frobenius Twist, I

Parity Sheaves and Smith Theory

A remark on descent for Coxeter groups

A Fourier transform for the quantum Toda lattice

A Strong Splitting of the Frobenius Morphism on the Algebra of Distributions of SL2​

Signatures of Multiplicity Spaces in tensor products of sl2​ and Uq​(sl2​) Representations

The Lower Central Series of the Quotient of a Free Algebra

A Strong Splitting of the Frobenius Morphism on the Algebra of Distributions of $S L_{2}$

Signatures of Multiplicity Spaces in tensor products of $sl_{2}$ and $U_{q} (sl_{2})$ Representations