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On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. (English) Zbl 0426.05009

MSC:
05A99 Enumerative combinatorics
15A72 Vector and tensor algebra, theory of invariants
20C30 Representations of finite symmetric groups
14L24 Geometric invariant theory
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[1] Aitken, A letter to an Edinburgh colleague, Proc. Edinburgh Math. Soc. 16 pp 166– (1968)
[2] Bourbaki, Eléments de Mathématique, Algèbre (1970)
[3] Cohn, A theorem on the structure of tensor spaces, Ann. Math. 56 pp 254– (1952) · Zbl 0047.25904 · doi:10.2307/1969799
[4] De Pillis, Grassman algebras as Hilbert space, Journal of Algebra 10 pp 485– (1968) · Zbl 0169.35004 · doi:10.1016/0021-8693(68)90074-4
[5] Edmonds, Systems of distinct representatives and linear algebra, J. Res. Nat. Bur. Standards, Sect. B 71B pp 241– (1967) · Zbl 0178.03002 · doi:10.6028/jres.071B.033
[6] Ericksen, The intersection of subspaces, Am. Math. Monthly 81 pp 154– (1974) · Zbl 0287.15003 · doi:10.2307/2976961
[7] Feynmann, An operator calculus having applications in quantum electrodynamics, Phys. Rev. 84 pp 108– (1951) · Zbl 0044.23304 · doi:10.1103/PhysRev.84.108
[8] Forder, The calculus of extension (1960) · Zbl 0093.05504
[9] Harper, Advances in Probability 1 (1970)
[10] Higman, Proc. Int. Conf. Theory of Groups pp 167– (1967)
[11] Hodge, Methods of Algebraic Geometry II (1968) · Zbl 0157.27501
[12] Igusa, On the arithmetic normality of the Grassman variety, Proc. Nat. Acad. Sci. 40 pp 309– (1954) · Zbl 0055.39002 · doi:10.1073/pnas.40.5.309
[13] Kähler, Der innere Differentialkalkül, Rediconti di Matematica 21 pp 425– (1962)
[14] Knuth, Permutations, matrices and generalized Young tableaux, Pacific J. M. 34 pp 709– (1970) · Zbl 0199.31901 · doi:10.2140/pjm.1970.34.709
[15] Littlewood, The Theory of Group Characters and Matrix Representations of Groups, 2. ed. (1950) · Zbl 0038.16504
[16] Meyer, Bericht über den gegenwärtigen Stand der Invariantentheorie, Jahresbericht der deutschen Math. Vereinigung I pp 82– (1892)
[17] Muir, A Treatise on the Theory of Determinants (1960)
[18] Rota, The number of partitions of a set, Am. Math. Monthly 71 pp 498– (1964) · Zbl 0121.01803 · doi:10.2307/2312585
[19] Scarpellini, On the metamathematics of rings and integral domains, TAMS. 138 pp 71– (1969) · Zbl 0181.30101 · doi:10.1090/S0002-9947-1969-0239941-4
[20] Semple, Introduction to Algebraic Geometry (1949)
[21] Stanley, Theory and application of plane partitions, part I, Studies in Appl. Math. L pp 167– (1971) · Zbl 0225.05011 · doi:10.1002/sapm1971502167
[22] Turnbull, The general symbolic notation for the principle of duality, and its application to determinants, Proc. London Math. Soc. 2 22 pp 495– (1923)
[23] Turnbull, A synthetic application of the symbolic invariant theory to geometry, The Journal of the Indian Math. Soc. XVII pp 1– (1927) · JFM 53.0093.02
[24] Turnbull, The invariant theory of a general bilinear form, Proc. London Math. Soc. 2 33 pp 1– (1931) · Zbl 0002.38102
[25] Turnbull, The projective invariants of four medials, Proc. Ed. Math. Soc. pp 55– (1942) · Zbl 0063.07882 · doi:10.1017/S0013091500024305
[26] Turnbull, Clebsch-Aronhold symbols and the theory of symmetric functions, Proc. Royal Soc. Edinburgh 55 pp 155– (1951) · Zbl 0045.29801
[27] Turnbull, The Theory of Determinants, Matrices and Invariants, 3. ed. (1960) · Zbl 0103.00702
[28] Weyl, The classical groups (1946)
[29] Whiteley, Ph. D. thesis (1970)
[30] Young, On quantitative substitutional analysis (third paper), Proc. London Math. Soc. 2 28 pp 255– (1927) · JFM 54.0150.02
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