Zobrazeno 1 - 10
of 18
pro vyhledávání: '"H. E. A. Eddy Campbell"'
This volume includes the proceedings of a workshop on Invariant Theory held at Queen's University (Ontario). The workshop was part of the theme year held under the auspices of the Centre de recherches mathématiques (CRM) in Montreal. The gathering b
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42ad6bb2a46e7596d24fd056a4fc4a8e
https://doi.org/10.1007/978-3-642-17404-9_4
https://doi.org/10.1007/978-3-642-17404-9_4
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a69bc51ffbe93a068fc7d39dd3fd8801
https://doi.org/10.1007/978-3-642-17404-9_6
https://doi.org/10.1007/978-3-642-17404-9_6
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
In this chapter, we use some of the basic commutative algebra discussed in the previous chapter to develop some basic results about rings of invariants.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1444ee9accc4cf4f76822f8e2bcb73b3
https://doi.org/10.1007/978-3-642-17404-9_3
https://doi.org/10.1007/978-3-642-17404-9_3
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
In this chapter, we study representations of groups which have polynomial rings of invariants. In characteristic 0, this happens if and only if the group is a reflection group. Recall 1.5.1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f5e663050aa379a63e69f2a77310821
https://doi.org/10.1007/978-3-642-17404-9_8
https://doi.org/10.1007/978-3-642-17404-9_8
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
In (Shank, 1998), Shank constructed generating sets, in fact, SAGBI bases, for the rings \(\mathbb{F}[V_{4}]^{C_{p}}\) and \(\mathbb{F}[V_{5}]^{C_{p}}\) for all primes p≥5. Of course, for the primes p=2,3, the corresponding actions are actions of \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dee65731b64419a2eabd402d78efe62
https://doi.org/10.1007/978-3-642-17404-9_13
https://doi.org/10.1007/978-3-642-17404-9_13
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
As we have seen, we seek to characterize those representations V of groups G whose rings of invariants are well-behaved. The best behaved rings of invariants, \(\mathbb{K}[V]^{G}\), are those which are polynomial rings, that is, \(\mathbb{K}[V]^{G}\)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88f44f8451836d3fcd77b735146e10d5
https://doi.org/10.1007/978-3-642-17404-9_11
https://doi.org/10.1007/978-3-642-17404-9_11
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
Let G=C p denote the cyclic group of order p. In this section, we wish to study the representation theory of C p over a field \(\mathbb{F}\) of characteristic p.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15aec99750f52c112400e5c0132d2a04
https://doi.org/10.1007/978-3-642-17404-9_7
https://doi.org/10.1007/978-3-642-17404-9_7
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37cd451af6b56b959c1520f942f97602
https://doi.org/10.1007/978-3-642-17404-9_14
https://doi.org/10.1007/978-3-642-17404-9_14
Publikováno v:
Modular Invariant Theory ISBN: 9783642174032
Let S denote the polynomial ring \(\mathbb{K}[x_{1},\ldots,x_{n}]\). The set of monomials in S is \(\mathcal{M} :=\{x_{1}^{a_{1}}x_{2}^{a_{2}}\cdot\ldots\cdot x_{n}^{a_{n}} \mid a_{1},a_{2},\ldots,a_{n} \in \mathbb{N}\}\). A term in S is an element o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ca375a53545c465a483f9c256d8e89e
https://doi.org/10.1007/978-3-642-17404-9_5
https://doi.org/10.1007/978-3-642-17404-9_5