Hayk M. Melikyan

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20132024

most citedMelikyan algebra is a deformation of a Poisson algebra

5 citations · 9 across the 4 of their papers we have counts for

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math.QA2024

Nilpotency indices for quantum Schubert cell algebras

Garrett Johnson, Hayk Melikyan

We study quantum analogs of $ad$ -nilpotency and Engel identities in quantum Schubert cell algebras $U_{q}^{+} [w]$ . For each pair of Lusztig root vectors, $X_μ…

math.QA2023

On automorphisms of quantum Schubert cells

Garrett Johnson, Hayk Melikyan

Automorphisms of the quantum Schubert cell algebras $U_{q}^{\pm} [w]$ of De Concini, Kac, Procesi and Lusztig and their restrictions to some key invariant subalgebras are stu…