3 citations · 8 across the 7 of their papers we have counts for
8 papers
A generalization of partition identities of Göllnitz-Gordon, Rogers-Ramanujan and Nandi
Motoki Takigiku, Shunsuke Tsuchioka
We propose Andrews-Gordon type series for certain level 2 standard modules of type , and prove the corresponding sum-product identities except for $A^{(2)}_…
Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra
Motoki Takigiku, Shunsuke Tsuchioka
We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra . We also give conjectural series for s…
A proof of conjectured partition identities of Nandi
Motoki Takigiku, Shunsuke Tsuchioka
We generalize the theory of linked partition ideals due to Andrews using finite automata in formal language theory and apply it to prove three Rogers--Ramanujan type identities of…
Automorphisms on the ring of symmetric functions and stable and dual stable Grothendieck polynomials
Motoki Takigiku
The dual stable Grothendieck polynomials and their sums (which represent -homology classes of boundary ideal sheaves and structure sheaves of Schube…
On the Pieri rules of stable and dual stable Grothendieck polynomials
Motoki Takigiku
We give an explanation for the Pieri coefficients for the stable and dual stable Grothendieck polynomials; their non-leading terms are obtained by taking an alternating sum of meet…
A Pieri-type formula and a factorization formula for sums of --Schur functions
Motoki Takigiku
We give a Pieri-type formula for the sum of --Schur functions over a principal order ideal of the poset of -bounded partitions under the strong Br…
Factorization formulas of --Schur functions II
Motoki Takigiku
Subsequently to the author's preceding paper, we give full proofs of some explicit formulas about factorizations of --Schur functions associated with any multiple -rectang…
Factorization formulas of --Schur functions I
Motoki Takigiku
We give some new formulas about factorizations of --Schur functions , analogous to the -rectangle factorization formula $s^{(k)}_{R_t\cupλ}=s^{(k)}_{R_t}s^{(k)}…