Volume 11 (2007)

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Young tableaux and the Steenrod algebra

Grant Walker and R M W Wood

Geometry & Topology Monographs 11 (2007) 379–397

DOI: 10.2140/gtm.2007.11.379

Bibliography
1 M A Alghamdi, M C Crabb, J R Hubbuck, Representations of the homology of BV and the Steenrod algebra I, from: "Adams Memorial Symposium on Algebraic Topology 2 (Manchester, 1990)", London Math. Soc. Lecture Note Ser. 176, Cambridge Univ. Press (1992) 217–234 MR1232208
2 J M Boardman, Modular representations on the homology of powers of real projective space, from: "Algebraic topology (Oaxtepec, 1991)", Contemp. Math. 146, Amer. Math. Soc. (1993) 49–70 MR1224907
3 D Carlisle, N J Kuhn, Subalgebras of the Steenrod algebra and the action of matrices on truncated polynomial algebras, J. Algebra 121 (1989) 370–387 MR992772
4 D P Carlisle, R M W Wood, The boundedness conjecture for the action of the Steenrod algebra on polynomials, from: "Adams Memorial Symposium on Algebraic Topology, 2 (Manchester, 1990)", London Math. Soc. Lecture Note Ser. 176, Cambridge Univ. Press (1992) 203–216 MR1232207
5 M C Crabb, J R Hubbuck, Representations of the homology of BV and the Steenrod algebra. II, from: "Algebraic topology: new trends in localization and periodicity (Sant Feliu de Guíxols, 1994)", Progr. Math. 136, Birkhäuser (1996) 143–154 MR1397726
6 M D Crossley, H*V is of bounded type over Ap, from: "Group representations: cohomology, group actions and topology (Seattle, WA, 1996)", Proc. Sympos. Pure Math. 63, Amer. Math. Soc. (1998) 183–190 MR1603151
7 W Fulton, Young tableaux, London Mathematical Society Student Texts 35, Cambridge University Press (1997) MR1464693
8 G James, A Kerber, The representation theory of the symmetric group, Encyclopedia of Mathematics and its Applications 16, Addison-Wesley Publishing Co., Reading, MA (1981) MR644144
9 A S Janfada, R M W Wood, The hit problem for symmetric polynomials over the Steenrod algebra, Math. Proc. Cambridge Philos. Soc. 133 (2002) 295–303 MR1912402
10 A S Janfada, R M W Wood, Generating H*(BO(3),F2) as a module over the Steenrod algebra, Math. Proc. Cambridge Philos. Soc. 134 (2003) 239–258 MR1972137
11 M Kameko, Generators of the cohomology of BV4 , preprint
12 M Kameko, Products of projective spaces as Steenrod modules, PhD thesis, Johns Hopkins University (1990)
13 M Kameko, Generators of the cohomology of BV3, J. Math. Kyoto Univ. 38 (1998) 587–593 MR1661173
14 I G Macdonald, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, Oxford University Press (1995) MR1354144
15 P A Minh, T T Tri, The first occurrence for the irreducible modules of general linear groups in the polynomial algebra, Proc. Amer. Math. Soc. 128 (2000) 401–405 MR1676308
16 S A Mitchell, S B Priddy, Stable splittings derived from the Steinberg module, Topology 22 (1983) 285–298 MR710102
17 M F Mothebe, Generators of the polynomial algebra F2[x1,…,xn] as a module over the Steenrod algebra, Comm. Algebra 30 (2002) 2213–2228 MR1904635
18 F P Peterson, Generators of H*(RPRP) as a module over the Steenrod algebra, Abstracts Amer. Math. Soc. 833-55-89 (1987)
19 B E Sagan, The symmetric group, Graduate Texts in Mathematics 203, Springer (2001) MR1824028
20 W M Singer, On the action of Steenrod squares on polynomial algebras, Proc. Amer. Math. Soc. 111 (1991) 577–583 MR1045150
21 R P Stanley, Enumerative combinatorics. Vol. 2, Cambridge Studies in Advanced Mathematics 62, Cambridge University Press (1999) MR1676282
22 N E Steenrod, D B A Epstein, Cohomology operations, Annals of Mathematics Studies 50, Princeton University Press (1962) MR0145525
23 G Walker, R M W Wood, Linking first occurrence polynomials over F2 by Steenrod operations, J. Algebra 246 (2001) 739–760 MR1872123
24 R M W Wood, Steenrod squares of polynomials and the Peterson conjecture, Math. Proc. Cambridge Philos. Soc. 105 (1989) 307–309 MR974986
25 R M W Wood, Differential operators and the Steenrod algebra, Proc. London Math. Soc. (3) 75 (1997) 194–220 MR1444319
26 R M W Wood, Problems in the Steenrod algebra, Bull. London Math. Soc. 30 (1998) 449–517 MR1643834
27 R M W Wood, Hit problems and the Steenrod algebra, from: "Proceedings of the summer school ‘Interactions between algebraic topology and invariant theory’, a satellite conference of the third European congress of mathematics, Ioannina University, Greece" (2000) 65–103
28 R M W Wood, The Peterson conjecture for algebras of invariants, from: "Invariant theory in all characteristics", CRM Proc. Lecture Notes 35, Amer. Math. Soc. (2004) 275–280