본문 바로가기
KERD
논문KCI 등재

CRITERIA FOR A SYMMETRIZED MONOMIAL IN B(3) TO BE NON-HIT

Ali S. Janfada
대한수학회 (The Korean Mathematical Society)|2014.07|대한수학회논문집 (Communications of the KMS)|제29권 제3호|pp. 463-478

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

hit problemsymmetric hit problemSteenrod algebra
주제분류수학

초록

We find criteria for symmetrized monomials to be non-hit in the A2-algebra of symmetric polynomials in three variables, where A2 is the mod 2 Steenrod algebra.

Abstract

We find criteria for symmetrized monomials to be non-hit in the A2-algebra of symmetric polynomials in three variables, where A2 is the mod 2 Steenrod algebra.

참고문헌 (11)

  1. D. P. Carlisle, "The boundedness conjecture for the action of the Steenrod algebra on polynomials, Adams Memorial Symposium on Algebraic Topology, 2", pp.203~216 (1992), Cambridge Univ. Press
  2. A. S. Janfada, "The Hit Problem for Symmetric Polynomials Over the Steenrod Algebra", PhD, pp.2000
  3. A. S. Janfada, "A criterion for a monomial in P(3) to be hit, Math", Proc. Cambridge Philos. Soc, 145(3), pp.587~599 (2008)
  4. A. S. Janfada, "On a conjecture on the symmetric hit problem", Rend. Circ. Mat. Palermo, 60(3), pp.403~408 (2011)
  5. A. S. Janfada, "The hit problem for symmetric polynomials over the Steenrod algebra", Math. Proc. Cambridge Philos. Soc, 133(2), pp.295~303 (2002)
  6. A. S. Janfada, "Generating H∗(BO(3), F₂) as a module over the Steenrod algebra", Math. Proc. Cambridge Philos. Soc, 134(2), pp.239~258 (2003)
  7. M. Kameko, "Generators of the cohomology of BV₃", 587–593, 38(3), pp.587~593 (1998)
  8. F. P. Peterson, "A-generators for certain polynomial algebras", Math. Proc. Cambridge Philos. Soc, 105(2), pp.311~312 (1989)
  9. L. Smith, "Polynomial Invariants of Finite Groups" (1995), A. K. Peters Ltd
  10. "The hit problem for the polynomial algebra of four variables" (2007)[URL]
  11. N. Sum, "The negative answer to Kameko’s conjecture on the hit problem", Adv. Math, 225(5), pp.2365~2390 (2010)

관련 논문AI추천

A-GENERATORS FOR THE POLYNOMIAL ALGEBRA OF FIVE VARIABLES IN DEGREE 5(2t − 1) + 6 · 2tDang Vo Phuc대한수학회 · 대한수학회논문집2020 · 제35권 제2호A note on the unstability conditions of the Steenrod squares on the polynomial algebraAli Sarbaz Janfada대한수학회 · 대한수학회지2009 · 제46권 제5호A remark on the conjugation in the Steenrod algebraNes¸et Den˙ Iz Turgay대한수학회 · 대한수학회논문집2015 · 제30권 제3호On Peterson's open problem and representations of the general linear groupsDang Vo Phuc대한수학회 · 대한수학회지2021 · 제58권 제3호Invariant rings and representations of symmetric groupsShotaro Kudo대한수학회 · 대한수학회보2013 · 제50권 제4호Some cohomotopy groups of suspended quaternionic projective planes이기영, Jin Ho Lee대한수학회 · 대한수학회보2016 · 제53권 제5호

이 간행물의 다른 논문 (10건)

Fibonacci numbers and semisimple continued fraction최은미pp. 387-399The spectral continuity of essentially hyponormal operators류은진, 김안현pp. 401-408Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasugapp. 409-413Dirichlet problem for polynomials on the unit diskAli Sinan Sertozpp. 415-420POLARIZATION AND UNCONDITIONAL CONSTANTS OF P(2d∗(1,w)2)김성권pp. 421-428
원문 보기