M. Schork

activity

20062026

most citedA generalization of boson normal ordering

21 citations · 65 across the 11 of their papers we have counts for

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math.CO2026

Normal ordering in the $(p, q)$ -deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities

Toufik Mansour, Lahcen Oussi, Matthias Schork

The $(p, q)$ -deformed generalized Weyl algebra is generated by variables $X, Y$ and $Z_{p}$ which satisfy the commutation relations $X Y - q Y X = h Y^{s} Z_{p}, X Z_{p} = p Z_{p} X$ , and $Z_{p} Y = p Y Z_{p}$ ,…

math.CO2026

Normal ordering in the $(p, q)$ -deformed generalized Weyl algebra. II: Interpretation in terms of rook placements

Toufik Mansour, Lahcen Oussi, Matthias Schork

In this paper, we investigate the combinatorial structure arising from the $(p, q)$ -deformed generalized Weyl algebra generated by variables $X, Y$ , and $Z_{p}$ , satisfying the $(p,…

math.CO2026

Normal ordering in the $(p, q)$ -deformed generalized Weyl algebra. III: The binomial formula

Toufik Mansour, Lahcen Oussi, Matthias Schork

We study the $(p, q)$ -deformed generalized Weyl algebra generated by variables $X, Y$ and $Z_{p}$ satisfying the $(p, q)$ -commutation relations $X Y - q Y X = h Y^{s} Z_{p}, X Z_{p} = p Z_{p} X$ , and $…

math.CO2026

Rook theory, normal ordering in the $q$ -deformed Ore algebra and the polynomial generalization

Matthias Schork

For words in the variables $X$ and $Y$ satisfying the commutation relation of the $q$ -deformed generalized Ore algebra, $X Y - q Y X = μ I + ν Y$ , we show that the corresponding normal ord…

Normal ordering in the (p,q)-deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities

Normal ordering in the (p,q)-deformed generalized Weyl algebra. II: Interpretation in terms of rook placements

Normal ordering in the (p,q)-deformed generalized Weyl algebra. III: The binomial formula

Rook theory, normal ordering in the q-deformed Ore algebra and the polynomial generalization

Normal ordering in the $(p, q)$ -deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities

Normal ordering in the $(p, q)$ -deformed generalized Weyl algebra. II: Interpretation in terms of rook placements

Normal ordering in the $(p, q)$ -deformed generalized Weyl algebra. III: The binomial formula

Rook theory, normal ordering in the $q$ -deformed Ore algebra and the polynomial generalization