activity
20142024
most citedA geometric approach to Hall algebras I: Higher Associativity

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

cs.LG2024★ 1 cited

Domain Generalization with Small Data

Kecheng Chen, Elena Gal, Hong Yan +1

In this work, we propose to tackle the problem of domain generalization in the context of \textit{insufficient samples}. Instead of extracting latent feature embeddings based on de…

cs.LG2023

Unbiased Decisions Reduce Regret: Adversarial Domain Adaptation for the Bank Loan Problem

Elena Gal, Shaun Singh, Aldo Pacchiano +3

In many real world settings binary classification decisions are made based on limited data in near real-time, e.g. when assessing a loan application. We focus on a class of these p…

math.AT2019

Higher Segal spaces and Lax -algebras

Adam Gal, Elena Gal

The notion of a higher Segal space was introduced by Dyckerhoff and Kapranov as a general framework for studying higher associativity inherent in a wide range of mathematical objec…

math.RT2018

Hall categories and KLR categorification

Adam Gal, Elena Gal, Kobi Kremnizer

This paper is the first step in the project of categorifying the bialgebra structure on the half of quantum group by using geometry and Hall algebras. We equi…

math.RT2016

Hopf categories and the categorification of the Heisenberg algebra via graphical calculus

Elena Gal

We explore the connection between the notion of Hopf category and the categorification of the infinite dimensional Heisenberg algebra via graphical calculus proposed by M.Khovanov.…

math.RT2016★ 2 cited

A geometric approach to Hall algebras I: Higher Associativity

Adam Gal, Elena Gal

We construct a geometric system from which the Hall algebra can be recovered. This system inherently satisfies higher associativity conditions and thus leads to a categorification…

math.RT2014★ 1 cited

Symmetric self-adjoint Hopf categories and a categorical Heisenberg double

Adam Gal, Elena Gal

Motivated by the work of of A. Zelevinsky on positive self-adjoint Hopf algebras, we define what we call a symmetric self-adjoint Hopf structure for a certain kind of semisimple ab…