Anton Khoroshkin

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math.RT2026

Cauchy identities for staircase matrices

Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi

The well known Cauchy identity expresses the product of terms $(1 - x_{i} y_{j})^{- 1}$ for $(i, j)$ indexing entries of a rectangular $m \times n$ -matrix as a sum over partitions $I^»$ of…

math.RT2026

Bubble sort and Howe duality for staircase matrices

Anton Khoroshkin, Ievgen Makedonskyi

We prove the alternating Cauchy identity for staircase matrices conjectured in arXiv:2411.03117, together with an explicit description of the coefficients occurring in it. As a byp…