Adding ±1 to the Argument of a Hall–littlewood Polynomial
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’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o Shifting by ±1 powers sums: pi → pi ± 1 induces a transformation on symmetric functions that we detail in the case of Hall–Littlewood polynomials. By iteration, this gives a description of these polynomials in terms of plane partitions, as well as some generating functions. We recover in particular an identity of Warnaar related to Rogers–Ramanujan identities. ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o
منابع مشابه
Adding ± 1 to the argument of an Hall - Littlewood polynomial
Shifting by ±1 powers sums: pi → pi± 1 induces a transformation on symmetric functions that we detail in the case of Hall-Littlewood polynomials. By iteration, this gives a description of these polynomials in terms of plane partitions, as well as some generating functions. We recover in particular an identity of Warnaar related to RogersRamanujan identities. ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ o...
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تاریخ انتشار 2007