Zero-dimensional Gorenstein algebras with the action of the symmetric group
Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 45-71. 
@article{RSMUP_2009__121__45_0,
     author = {Morita, Hideaki and Wachi, Akihito and Watanabe, Junzo},
     title = {Zero-dimensional {Gorenstein} algebras with the action of the symmetric group},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {45--71},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {121},
     year = {2009},
     mrnumber = {2542134},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2009__121__45_0/}
}
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Morita, Hideaki; Wachi, Akihito; Watanabe, Junzo. Zero-dimensional Gorenstein algebras with the action of the symmetric group. Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 45-71. http://archive.numdam.org/item/RSMUP_2009__121__45_0/

[1] W. Fulton, Young Tableaux, London Mathematical Society Student Text 35, Cambridge University Press, 1997. | MR | Zbl

[2] R. Goodman - N. R. Wallach, Representations and Invariants of the Classical Groups, Cambridge University Press, 1998. | MR | Zbl

[3] T. Harima - J. Watanabe, The finite free extension of an Artinian K-algebra with the strong Lefschetz property, Rend. Sem. Mat. Univ. Padova, 110 (2003), pp. 119-146. | EuDML | Numdam | MR | Zbl

[4] J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, 1972. | MR | Zbl

[5] V. G. Kac, Infinite-dimensional Lie algebras, third ed., Cambridge University Press, Cambridge, 1990. | MR | Zbl

[6] I. G. Macdonald, Symmetric functions and Hall Polynomials, 2nd ed., Oxford Science Publications, London, 1995. | MR | Zbl

[7] T. Maeno, Lefschetz property, Schur-Weyl duality and a q-deformation of Specht polynomial, Comm. Algebra, 35 (2007), pp. 1307-1321. | MR | Zbl

[8] T. Terasoma - H. -F. Yamada, Higher Specht polynomials for the symmetric group, Proc. Japan Acad., 69 (1993), pp. 41-44. | MR | Zbl

[9] J. Watanabe, The Dilworth number of Artinian rings and finite posets with rank function, Adv. Stud. Pure Math., 11 (1987), pp. 303-312. | MR | Zbl

[10] J. Watanabe, m-full ideals, Nagoya Math. J., 106 (1987), pp. 101-111. | MR | Zbl

[11] H. Weyl, Classical groups, their invariants and representations, 2nd Edition, Princeton, 1946. | MR | Zbl