3 citations · 5 across the 5 of their papers we have counts for
5 papers
The Nature of Reasoning in Theology, Philosophy, and Mathematics
Chad R. Mangum
This article supports the epistemological claim that sound human reasoning about ultimate knowledge is either foundational or circularly justified. In particular, questions which n…
Schur-Weyl Duality for Toroidal Algebras of Type
Vyjayanthi Chari, Lauren Grimley, Zongzhu Lin +3
We state and prove an analog of the Schur-Weyl duality for a quotient of the classical -toroidal Lie algebra of type . We then provide a method to extend this duality to the…
Bosonic free field realization of twisted 2-toroidal Lie algebras
Chad R. Mangum
Using free fields, we construct a bosonic realization of toroidal Lie algebras of type which are twisted by a Dynkin diagram automorphism. This rea…
Fermionic realization of twisted toroidal Lie algebras
Naihuan Jing, Chad R. Mangum, Kailash C. Misra
In this paper, we construct a fermionic realization of the twisted toroidal Lie algebra of type and based on the newly found Moody-Rao-Yokonuma-li…
On realization of some twisted toroidal Lie algebras
Naihuan Jing, Chad R. Mangum, Kailash C. Misra
Toroidal Lie algebras are generalizations of affine Lie algebras. In 1990, Moody, Rao and Yokonuma gave a presentation for untwisted toroidal Lie algebras. In this paper we give a…