Factorizations of Symmetric Macdonald Polynomials
Copyright policy )Factorizations of Symmetric Macdonald Polynomials
We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. Consequently, we prove a conjecture of Bernevig and Haldane stated in the context of the fractional quantum Hall effect theory.
- University of Virginia United States
- University of Rouen France
- Normandie Université France
- York University Canada
- University of Le Havre France
Symmetric functions and generalizations, quantum Hall theory, FOS: Physical sciences, Mathematical Physics (math-ph), highest weight polynomials, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], clustering properties, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], Many-body theory; quantum Hall effect, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Macdonald polynomials, Combinatorics (math.CO), Jack polynomials, Representation Theory (math.RT), Mathematical Physics, Mathematics - Representation Theory, quasistaircases factorizations
Symmetric functions and generalizations, quantum Hall theory, FOS: Physical sciences, Mathematical Physics (math-ph), highest weight polynomials, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], clustering properties, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], Many-body theory; quantum Hall effect, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Macdonald polynomials, Combinatorics (math.CO), Jack polynomials, Representation Theory (math.RT), Mathematical Physics, Mathematics - Representation Theory, quasistaircases factorizations
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