R. Jayne

activity

20132022

collaborators

4 papers

math.RT2022

Multiplicities of maximal weights of the $s ℓ^(n)$ -module $V (k Λ_{0})$

Rebecca L. Jayne, Kailash C. Misra

Consider the affine Lie algebra $s ℓ^(n)$ with null root $δ$ , weight lattice $P$ and set of dominant weights $P^{+}$ . Let $V (k Λ_{0}), k \in Z_{\geq 1}$ denote the in…

math.RT2020

Multiplicities of some maximal dominant weights of the $s ℓ (n)$ -modules $V (k Λ_{0})$

Rebecca L. Jayne, Kailash C. Misra

For $n \geq 2$ consider the affine Lie algebra $s ℓ (n)$ with simple roots ${α_{i} ∣ 0 \leq i \leq n - 1}$ . Let $V (k Λ_{0}), k \in Z_{\geq 1}$ denote the integ…

math.CO2015

Lattice Paths, Young Tableaux, and Weight Multiplicities

Rebecca L. Jayne, Kailash C. Misra

For $ℓ \geq 1$ and $k \geq 2$ , we consider certain admissible sequences of $k - 1$ lattice paths in a colored $ℓ \times ℓ$ square. We show that the number of such admissible…

math.RT2013

On multiplicities of maximal weights of $s l^(n)$ -modules

Rebecca L. Jayne, Kailash C. Misra

We determine explicitly the maximal dominant weights for the integrable highest weight $s l^(n)$ -modules $V ((k - 1) Λ_{0} + Λ_{s})$ , $0 \leq s \leq n - 1$ , $k \geq 2$ . We give a conjec…

Multiplicities of maximal weights of the sℓ^(n)-module V(kΛ0​)

Multiplicities of some maximal dominant weights of the sℓ(n)-modules V(kΛ0​)

Lattice Paths, Young Tableaux, and Weight Multiplicities

On multiplicities of maximal weights of sl^(n)-modules

Multiplicities of maximal weights of the $s ℓ^(n)$ -module $V (k Λ_{0})$

Multiplicities of some maximal dominant weights of the $s ℓ (n)$ -modules $V (k Λ_{0})$

On multiplicities of maximal weights of $s l^(n)$ -modules