Haruo Minami

collaborators

5 papers

math.AT2025

On homotopy elements represented by quotients of Lie groups

Haruo Minami

Consider the quotient $G / B$ of a simple matrix Lie group $G$ by a subgroup $B$ isomorphic to a direct product of some of $S^{1}$ s and $S^{3}$ s such that its adjoint representation can…

math.AT2025

$e$ -invariants of quotients of Lie groups

Haruo Minami

Let $G$ be a simply connected compact Lie group and $L$ be the left invarinat framing of $G$ . Let $L^{I^} »$ be the framing obtained by twisting $L$ by a…

math.AT2025

The groups $S p (4 n + 1)$ and $S p in (8 n - 2)$ as framed manifolds

Haruo Minami

We consider a compact Lie group as a framed manifold equipped with the left invarianat framing $L$ . In a previous paper we have proved that the Adams $e_{C}$ -invar…

math.AT2025

The special unitary groups $S U (2 n)$ as framed manifolds

Haruo Minami

Let $[S U (2 n), L]$ denote the bordism class of $S U (2 n)$ $(n \geq 2)$ equipped with its left invariant framing $L$ . Then it is well known that $e_\mathbb{C}([SU(2n)…

math.AT2024

Non-null framed bordant simple Lie groups

Haruo Minami

Let $G$ be a compact simple Lie group equipped with the left invariant framing $L$ . It is known that there are several groups $G$ such that $(G, L)$ is non-null framed bordant. Pre…

On homotopy elements represented by quotients of Lie groups

e-invariants of quotients of Lie groups

The groups Sp(4n+1) and Spin(8n−2) as framed manifolds

The special unitary groups SU(2n) as framed manifolds

Non-null framed bordant simple Lie groups

$e$ -invariants of quotients of Lie groups

The groups $S p (4 n + 1)$ and $S p in (8 n - 2)$ as framed manifolds

The special unitary groups $S U (2 n)$ as framed manifolds