Sarah Bockting-Conrad

activity

20112020

most citedFinite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero

15 citations · 23 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2020

Sós Permutations

Sarah Bockting-Conrad, Yevgenia Kashina, T. Kyle Petersen +1

Let $f (x) = α x + β mod 1$ for fixed real parameters $α$ and $β$ . For any positive integer $n$ , define the Sós permutation $π$ to be the lexicographically first permutation such tha…

math.RA2019★ 15 cited

Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero

Hau-Wen Huang, Sarah Bockting-Conrad

Assume that $F$ is an algebraically closed field with characteristic zero. The Racah algebra $ℜ$ is the unital associative $F$ -algebra defined by generators a…

math.RA2019★ 2 cited

Some $q$ -exponential formulas involving the double lowering operator $ψ$ for a tridiagonal pair

Sarah Bockting-Conrad

Let $K$ denote an algebraically closed field and let $V$ denote a vector space over $K$ with finite positive dimension. Let $A, A^{*}$ denote a tridiagonal pair on $…

math.RA2019★ 1 cited

The universal enveloping algebra of $sl_{2}$ and the Racah algebra

Sarah Bockting-Conrad, Hau-Wen Huang

Let $F$ denote a field with $char F \neq = 2$ . The Racah algebra $ℜ$ is the unital associative $F$ -algebra defined by generators and relations in t…

math.CO2018

Algebraic Voting Theory & Representations of $S_{m} ≀ S_{n}$

Hélène Barcelo, Megan Bernstein, Sarah Bockting-Conrad +3

We consider the problem of selecting an $n$ -member committee made up of one of $m$ candidates from each of $n$ distinct departments. Using an algebraic approach, we analyze positio…

math.RA2017★ 5 cited

The Casimir elements of the Racah algebra

Sarah Bockting-Conrad, Hau-Wen Huang

Let $F$ denote a field with $char F \neq = 2$ . The Racah algebra $R$ is the unital associative $F$ -algebra defined by generators and relat…

math.RA2013

Tridiagonal pairs of $q$ -Racah type, the double lowering operator $ψ$ , and the quantum algebra $U_{q} (sl_{2})$

Sarah Bockting-Conrad

Let \K denote an algebraically closed field and let V denote a vector space over \K with finite positive dimension. We consider an ordered pair of linear transformations A:V\to V,A…

math.RA2011

Two commuting operators associated with a tridiagonal pair

Sarah Bockting-Conrad

Let \K denote a field and let V denote a vector space over \K with finite positive dimension. We consider an ordered pair of linear transformations A:V\to V and A*:V \to V that sat…

Sós Permutations

Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero

Some q-exponential formulas involving the double lowering operator ψ for a tridiagonal pair

The universal enveloping algebra of sl2​ and the Racah algebra

Algebraic Voting Theory & Representations of Sm​≀Sn​

The Casimir elements of the Racah algebra

Tridiagonal pairs of q-Racah type, the double lowering operator ψ, and the quantum algebra Uq​(sl2​)

Two commuting operators associated with a tridiagonal pair

Some $q$ -exponential formulas involving the double lowering operator $ψ$ for a tridiagonal pair

The universal enveloping algebra of $sl_{2}$ and the Racah algebra

Algebraic Voting Theory & Representations of $S_{m} ≀ S_{n}$

Tridiagonal pairs of $q$ -Racah type, the double lowering operator $ψ$ , and the quantum algebra $U_{q} (sl_{2})$